Atkin-Lehner |
2- 3- 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378bj |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-1.3391047375935E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -6 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-779468,-616358545] |
[a1,a2,a3,a4,a6] |
Generators |
[6615:529285:1] |
Generators of the group modulo torsion |
j |
-71844004769731964281/183690636158234016 |
j-invariant |
L |
6.8973736100542 |
L(r)(E,1)/r! |
Ω |
0.074762116971658 |
Real period |
R |
0.9225760233177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999318606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126g1 |
Quadratic twists by: -3 |