Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
70574h |
Isogeny class |
Conductor |
70574 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
113363712 |
Modular degree for the optimal curve |
Δ |
-1.485331932726E+30 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 5 -3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,663216539,-58267007477168] |
[a1,a2,a3,a4,a6] |
Generators |
[1197515213:171427570538:29791] |
Generators of the group modulo torsion |
j |
703662842508625/32396521357312 |
j-invariant |
L |
5.209933659714 |
L(r)(E,1)/r! |
Ω |
0.012879205527471 |
Real period |
R |
9.1937024316258 |
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 |
70574c1 |
Quadratic twists by: -71 |