Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bo |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5026560 |
Modular degree for the optimal curve |
Δ |
-1.2523065391349E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 13- 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14927917,-49055046073] |
[a1,a2,a3,a4,a6] |
Generators |
[6572118:5953577057:8] |
Generators of the group modulo torsion |
j |
504654146753383024121879/1717841617468945312500 |
j-invariant |
L |
7.9410857357664 |
L(r)(E,1)/r! |
Ω |
0.04394018112259 |
Real period |
R |
7.5302050166891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090q1 |
Quadratic twists by: -3 |