Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
7470p |
Isogeny class |
Conductor |
7470 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-6.0531114169346E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,950773,112852379] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:4906:1] |
Generators of the group modulo torsion |
j |
130384850244802923671/83033078421600000 |
j-invariant |
L |
6.4023857884355 |
L(r)(E,1)/r! |
Ω |
0.1227595976065 |
Real period |
R |
1.3038462803043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59760bh1 2490e1 37350f1 |
Quadratic twists by: -4 -3 5 |