Atkin-Lehner |
2+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30634a |
Isogeny class |
Conductor |
30634 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38272 |
Modular degree for the optimal curve |
Δ |
-20468658512 = -1 · 24 · 176 · 53 |
Discriminant |
Eigenvalues |
2+ 1 4 0 4 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2174,39424] |
[a1,a2,a3,a4,a6] |
Generators |
[37:81:1] |
Generators of the group modulo torsion |
j |
-47045881/848 |
j-invariant |
L |
6.7184144126251 |
L(r)(E,1)/r! |
Ω |
1.2158024774308 |
Real period |
R |
2.7629547304518 |
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 |
106b1 |
Quadratic twists by: 17 |