Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350da |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
1632000 |
Modular degree for the optimal curve |
Δ |
617729280000000000 = 217 · 3 · 510 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-641263,-194054983] |
[a1,a2,a3,a4,a6] |
Generators |
[-482:2005:1] |
Generators of the group modulo torsion |
j |
2986291914631225/63255478272 |
j-invariant |
L |
13.102292295421 |
L(r)(E,1)/r! |
Ω |
0.16892736632363 |
Real period |
R |
2.2812262246785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350r1 |
Quadratic twists by: 5 |