Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096w |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
81957951111168 = 220 · 39 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-322419,70464562] |
[a1,a2,a3,a4,a6] |
Generators |
[201:3712:1] |
Generators of the group modulo torsion |
j |
1241361053832817/27447552 |
j-invariant |
L |
6.1002993524881 |
L(r)(E,1)/r! |
Ω |
0.56207978324478 |
Real period |
R |
2.7132711112968 |
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 |
3762i1 120384ds1 10032q1 |
Quadratic twists by: -4 8 -3 |