Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425t |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-4.6642773309862E+19 |
Discriminant |
Eigenvalues |
1 -3 5+ -3 11- -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3395827,-2430070934] |
[a1,a2,a3,a4,a6] |
Generators |
[478778:331042518:1] |
Generators of the group modulo torsion |
j |
-97783220255527305/1053145182353 |
j-invariant |
L |
2.6665926275843 |
L(r)(E,1)/r! |
Ω |
0.055571793251703 |
Real period |
R |
3.9987202011429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51425bf1 4675d1 |
Quadratic twists by: 5 -11 |