Atkin-Lehner |
3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
55815d |
Isogeny class |
Conductor |
55815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
141423427620945 = 32 · 5 · 617 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-214035,38019720] |
[a1,a2,a3,a4,a6] |
j |
21047437081/2745 |
j-invariant |
L |
1.1200236717509 |
L(r)(E,1)/r! |
Ω |
0.56001183523658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
915b1 |
Quadratic twists by: 61 |