Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35700i |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
209219013281250000 = 24 · 38 · 511 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-409633,98619262] |
[a1,a2,a3,a4,a6] |
Generators |
[-702:6304:1] |
Generators of the group modulo torsion |
j |
30406719792234496/836876053125 |
j-invariant |
L |
4.4060727599121 |
L(r)(E,1)/r! |
Ω |
0.31528097747832 |
Real period |
R |
6.9875334616639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100v1 7140p1 |
Quadratic twists by: -3 5 |