Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992s |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
-46505765440512 = -1 · 210 · 39 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54648,4928040] |
[a1,a2,a3,a4,a6] |
j |
-895478740992/2307361 |
j-invariant |
L |
5.1163338950519 |
L(r)(E,1)/r! |
Ω |
0.6395415792194 |
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 |
124992dv1 15624s1 124992t1 |
Quadratic twists by: -4 8 -3 |