Atkin-Lehner |
2+ 3+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760g |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
378014376960 = 210 · 39 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2187,25974] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:2035:8] |
Generators of the group modulo torsion |
j |
57395628/18755 |
j-invariant |
L |
7.6806396159103 |
L(r)(E,1)/r! |
Ω |
0.87862054789398 |
Real period |
R |
4.3708514022837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998805243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122760bf1 |
Quadratic twists by: -3 |