Atkin-Lehner |
2+ 3- 7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378k |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
6662226167350000128 = 29 · 38 · 711 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-482112,34463232] |
[a1,a2,a3,a4,a6] |
Generators |
[-705:762567:125] |
Generators of the group modulo torsion |
j |
16999670935259034625/9138856196639232 |
j-invariant |
L |
3.6071245267967 |
L(r)(E,1)/r! |
Ω |
0.20721652474175 |
Real period |
R |
8.7037568297034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000116158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126s1 |
Quadratic twists by: -3 |