Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72540m |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
3363840 |
Modular degree for the optimal curve |
Δ |
-2.6076434159564E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2063988,7685017641] |
[a1,a2,a3,a4,a6] |
Generators |
[-1278:54405:1] |
Generators of the group modulo torsion |
j |
3087691775099486208/82801256666805625 |
j-invariant |
L |
7.5845008913128 |
L(r)(E,1)/r! |
Ω |
0.089430191256235 |
Real period |
R |
0.70674313908053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995681 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72540f1 |
Quadratic twists by: -3 |