Atkin-Lehner |
2+ 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29150h |
Isogeny class |
Conductor |
29150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-10260800000000 = -1 · 212 · 58 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3 5+ 4 11- 7 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17692,923216] |
[a1,a2,a3,a4,a6] |
j |
-39196589992209/656691200 |
j-invariant |
L |
5.7968070891931 |
L(r)(E,1)/r! |
Ω |
0.72460088614883 |
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 |
5830f1 |
Quadratic twists by: 5 |