Atkin-Lehner |
2+ 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658j |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-259477894368 = -1 · 25 · 33 · 72 · 112 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2580,-57168] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-11:1] |
Generators of the group modulo torsion |
j |
-38783744841625/5295467232 |
j-invariant |
L |
4.1612848099133 |
L(r)(E,1)/r! |
Ω |
0.33239743980008 |
Real period |
R |
2.0865006446874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999406469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119658z1 |
Quadratic twists by: -7 |