Atkin-Lehner |
7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
79261g |
Isogeny class |
Conductor |
79261 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
717696 |
Modular degree for the optimal curve |
Δ |
-333225183797779 = -1 · 7 · 139 · 672 |
Discriminant |
Eigenvalues |
2 -2 3 7- 0 13+ -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-122074,16399439] |
[a1,a2,a3,a4,a6] |
Generators |
[-3062:21459:8] |
Generators of the group modulo torsion |
j |
-41680861032448/69036331 |
j-invariant |
L |
11.259654841318 |
L(r)(E,1)/r! |
Ω |
0.54108900274964 |
Real period |
R |
5.2023118120884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6097a1 |
Quadratic twists by: 13 |