Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33516q |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
684128592 = 24 · 38 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3612,83545] |
[a1,a2,a3,a4,a6] |
Generators |
[32:27:1] [-40:405:1] |
Generators of the group modulo torsion |
j |
1302642688/171 |
j-invariant |
L |
6.9923089720892 |
L(r)(E,1)/r! |
Ω |
1.5531130645505 |
Real period |
R |
0.75035414695893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172r1 33516y1 |
Quadratic twists by: -3 -7 |