Atkin-Lehner |
2+ 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70448b |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
9017344 = 211 · 7 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ -3 -3 7+ 6 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139,-614] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] [-6:2:1] |
Generators of the group modulo torsion |
j |
145023426/4403 |
j-invariant |
L |
5.6825454309778 |
L(r)(E,1)/r! |
Ω |
1.3930048880276 |
Real period |
R |
1.0198358741921 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35224d1 |
Quadratic twists by: -4 |