Atkin-Lehner |
3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129285v |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4492800 |
Modular degree for the optimal curve |
Δ |
-3.6264533705841E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 1 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2188212,-2615780606] |
[a1,a2,a3,a4,a6] |
Generators |
[7774:695857:1] |
Generators of the group modulo torsion |
j |
1948576907264/6098285475 |
j-invariant |
L |
3.2256534785752 |
L(r)(E,1)/r! |
Ω |
0.071740846257722 |
Real period |
R |
3.7468815930999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43095e1 129285bd1 |
Quadratic twists by: -3 13 |