Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33440u |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4377600 |
Modular degree for the optimal curve |
Δ |
-3.0800691713687E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11+ 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167761433,-836347042868] |
[a1,a2,a3,a4,a6] |
Generators |
[4561905136801662217636392254859988559140644097024883858905070139729840898339389283717698340882947:-587268034899655550907580147500442560488608612003474735347875980684758948135554707601863890194403998:184503703991634825177489154381721080125462695498472608030362513486248774772270890930267260221] |
Generators of the group modulo torsion |
j |
-8158684134807495855192505536/4812608080263671875 |
j-invariant |
L |
6.1108662768544 |
L(r)(E,1)/r! |
Ω |
0.020974736415065 |
Real period |
R |
145.67206366573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440g1 66880bk2 |
Quadratic twists by: -4 8 |