Atkin-Lehner |
2+ 3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130m |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-401345280 = -1 · 28 · 34 · 5 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 5 -2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18,-972] |
[a1,a2,a3,a4,a6] |
Generators |
[36:198:1] |
Generators of the group modulo torsion |
j |
-14338681/8190720 |
j-invariant |
L |
3.8686355773874 |
L(r)(E,1)/r! |
Ω |
0.75769146628055 |
Real period |
R |
1.276454773894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130bk1 |
Quadratic twists by: -7 |