Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580b |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12355200 |
Modular degree for the optimal curve |
Δ |
-5.3518228213829E+23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42987226,-114034645899] |
[a1,a2,a3,a4,a6] |
Generators |
[4088032740327249298235611135860469315952331032639296920:264580009048448643712140282221244244221072771288297289377:418064694007930418576665297875079542660530574874112] |
Generators of the group modulo torsion |
j |
-129084391106508544/7863818359375 |
j-invariant |
L |
9.6155560456976 |
L(r)(E,1)/r! |
Ω |
0.029376845821369 |
Real period |
R |
81.829377668441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118580bd1 10780a1 |
Quadratic twists by: -7 -11 |