Atkin-Lehner |
2- 3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bw |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
9.9810211246019E+18 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-539600,-12936000] |
[a1,a2,a3,a4,a6] |
Generators |
[-710:3430:1] |
Generators of the group modulo torsion |
j |
4242095018217176401/2436772735498500 |
j-invariant |
L |
6.1039320818025 |
L(r)(E,1)/r! |
Ω |
0.19138776660527 |
Real period |
R |
1.0631003543078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910bj1 |
Quadratic twists by: -4 |