Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400q |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131712 |
Modular degree for the optimal curve |
Δ |
-6662476800 = -1 · 210 · 37 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13928,-628068] |
[a1,a2,a3,a4,a6] |
Generators |
[544780990:9644690476:1520875] |
Generators of the group modulo torsion |
j |
-11672965505860/260253 |
j-invariant |
L |
6.3742623511569 |
L(r)(E,1)/r! |
Ω |
0.21973244596241 |
Real period |
R |
14.504599725115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400ea1 |
Quadratic twists by: 5 |