Atkin-Lehner |
2- 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550bd |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
404736 |
Modular degree for the optimal curve |
Δ |
-1199237120000000 = -1 · 217 · 57 · 17 · 832 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 -2 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55688,5302281] |
[a1,a2,a3,a4,a6] |
Generators |
[-219:2765:1] [-155:3277:1] |
Generators of the group modulo torsion |
j |
-1222331589867961/76751175680 |
j-invariant |
L |
11.367704482505 |
L(r)(E,1)/r! |
Ω |
0.47907113928865 |
Real period |
R |
0.17447526164068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14110c1 |
Quadratic twists by: 5 |