Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960bx |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-2.9491696001919E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,729573,-8258951734] |
[a1,a2,a3,a4,a6] |
Generators |
[30205:5250816:1] |
Generators of the group modulo torsion |
j |
14382768678616871/9876709319915520 |
j-invariant |
L |
6.504343224839 |
L(r)(E,1)/r! |
Ω |
0.05500385963761 |
Real period |
R |
2.9563121877685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3870w1 123840ej1 10320q1 |
Quadratic twists by: -4 8 -3 |