Atkin-Lehner |
2+ 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800d |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8359680 |
Modular degree for the optimal curve |
Δ |
7.599346806945E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 0 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67125208,-211614488588] |
[a1,a2,a3,a4,a6] |
Generators |
[2300115208135425902212256452:95796241235160644652320048226:223878633518177588435129] |
Generators of the group modulo torsion |
j |
6689761697497320200/1519869361389 |
j-invariant |
L |
4.7224475687453 |
L(r)(E,1)/r! |
Ω |
0.052745336094306 |
Real period |
R |
44.766494238484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112800z1 112800ch1 |
Quadratic twists by: -4 5 |