Atkin-Lehner |
2+ 3+ 11+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746c |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-51850822053888 = -1 · 212 · 32 · 113 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5629,308301] |
[a1,a2,a3,a4,a6] |
j |
19719545494747463/51850822053888 |
j-invariant |
L |
0.88524169304625 |
L(r)(E,1)/r! |
Ω |
0.44262084652452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238co1 |
Quadratic twists by: -3 |