Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960bd |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
1.25728607025E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20658567,-36140450726] |
[a1,a2,a3,a4,a6] |
Generators |
[5483:124200:1] |
Generators of the group modulo torsion |
j |
5224645130090610708304/67370009765625 |
j-invariant |
L |
5.4031337162577 |
L(r)(E,1)/r! |
Ω |
0.070814931996556 |
Real period |
R |
2.5433118711955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920bl1 19320y1 |
Quadratic twists by: -4 -3 |