Atkin-Lehner |
3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53655b |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
790272 |
Modular degree for the optimal curve |
Δ |
90576859797645165 = 316 · 5 · 78 · 73 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ -6 2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-131826,-11345713] |
[a1,a2,a3,a4,a6] |
Generators |
[262379052852:6459922294871:331373888] |
Generators of the group modulo torsion |
j |
43948687519744/15712053165 |
j-invariant |
L |
8.0365628979035 |
L(r)(E,1)/r! |
Ω |
0.25797639586134 |
Real period |
R |
15.576159344096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655w1 |
Quadratic twists by: -7 |