Atkin-Lehner |
2- 3- 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378bg |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
7884800 |
Modular degree for the optimal curve |
Δ |
6.0749420850918E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3259055,-1928443337] |
[a1,a2,a3,a4,a6] |
Generators |
[-1301:11054:1] |
Generators of the group modulo torsion |
j |
5251351973636478515625/833325388901476352 |
j-invariant |
L |
11.292707930347 |
L(r)(E,1)/r! |
Ω |
0.11356742907866 |
Real period |
R |
0.64568928517437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14042a1 |
Quadratic twists by: -3 |