Atkin-Lehner |
2+ 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57350b |
Isogeny class |
Conductor |
57350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26657280 |
Modular degree for the optimal curve |
Δ |
-5.9493366784E+26 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 6 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-183073442,-1511965746284] |
[a1,a2,a3,a4,a6] |
j |
-43428989868734317441743729/38075754741760000000000 |
j-invariant |
L |
1.9796112650294 |
L(r)(E,1)/r! |
Ω |
0.01979611263263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11470b1 |
Quadratic twists by: 5 |