Atkin-Lehner |
2- 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760bj |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102912 |
Modular degree for the optimal curve |
Δ |
-8591235840 = -1 · 28 · 39 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7452,-247644] |
[a1,a2,a3,a4,a6] |
Generators |
[53205:1073061:125] |
Generators of the group modulo torsion |
j |
-9082616832/1705 |
j-invariant |
L |
7.9493707853899 |
L(r)(E,1)/r! |
Ω |
0.2569191381399 |
Real period |
R |
7.7352848019833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999585136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122760c1 |
Quadratic twists by: -3 |