Atkin-Lehner |
5+ 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70525f |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30528 |
Modular degree for the optimal curve |
Δ |
2586363325 = 52 · 72 · 133 · 312 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ -2 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-343,208] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:45:1] [-86:399:8] |
Generators of the group modulo torsion |
j |
179032391680/103454533 |
j-invariant |
L |
6.4853040634816 |
L(r)(E,1)/r! |
Ω |
1.22455546497 |
Real period |
R |
0.44133730218536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70525v1 |
Quadratic twists by: 5 |