Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
101150bz |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25380864 |
Modular degree for the optimal curve |
Δ |
3.7385700035359E+22 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-620002688,5941814077281] |
[a1,a2,a3,a4,a6] |
Generators |
[12415:391567:1] |
Generators of the group modulo torsion |
j |
241820454028845241/343000000 |
j-invariant |
L |
7.4964076472936 |
L(r)(E,1)/r! |
Ω |
0.098105165246543 |
Real period |
R |
6.3676630794205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20230k1 101150cg1 |
Quadratic twists by: 5 17 |