Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70980v |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
194688 |
Modular degree for the optimal curve |
Δ |
-124708912626480 = -1 · 24 · 3 · 5 · 72 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5859,-506856] |
[a1,a2,a3,a4,a6] |
Generators |
[5716947459017864:-34271198137163229:88049855222272] |
Generators of the group modulo torsion |
j |
131072/735 |
j-invariant |
L |
7.740525601125 |
L(r)(E,1)/r! |
Ω |
0.29447894444672 |
Real period |
R |
26.285497643876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70980bb1 |
Quadratic twists by: 13 |