Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57660d |
Isogeny class |
Conductor |
57660 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
614081546957520 = 24 · 32 · 5 · 318 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24345,-838170] |
[a1,a2,a3,a4,a6] |
j |
112377856/43245 |
j-invariant |
L |
0.78971545309467 |
L(r)(E,1)/r! |
Ω |
0.39485772706953 |
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 |
1860b1 |
Quadratic twists by: -31 |