Atkin-Lehner |
5+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
129115f |
Isogeny class |
Conductor |
129115 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
63504 |
Modular degree for the optimal curve |
Δ |
-7750127875 = -1 · 53 · 76 · 17 · 31 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- -3 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,244,-3872] |
[a1,a2,a3,a4,a6] |
Generators |
[2470:10668:125] |
Generators of the group modulo torsion |
j |
13651919/65875 |
j-invariant |
L |
4.4457698140616 |
L(r)(E,1)/r! |
Ω |
0.66320080828356 |
Real period |
R |
6.7035049189122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998504336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2635d1 |
Quadratic twists by: -7 |