Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350cc |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
69312 |
Modular degree for the optimal curve |
Δ |
55325491200 = 219 · 32 · 52 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2113,34751] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:192:1] |
Generators of the group modulo torsion |
j |
41734483245625/2213019648 |
j-invariant |
L |
8.3404240183054 |
L(r)(E,1)/r! |
Ω |
1.1023560699683 |
Real period |
R |
0.19910521523586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350bo1 |
Quadratic twists by: 5 |