Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992bm |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-8817419649024 = -1 · 215 · 311 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 3 3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2316,-149168] |
[a1,a2,a3,a4,a6] |
j |
-57512456/369117 |
j-invariant |
L |
4.907926777113 |
L(r)(E,1)/r! |
Ω |
0.30674538926385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992dj1 62496bh1 41664bj1 |
Quadratic twists by: -4 8 -3 |