Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76880l |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-2.1151697728537E+19 |
Discriminant |
Eigenvalues |
2+ 3 5- -2 -2 2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36952372,-86459559364] |
[a1,a2,a3,a4,a6] |
Generators |
[3641762970929269512835668003:458819421780633218446577764825:200440514293012394462979] |
Generators of the group modulo torsion |
j |
-24560689104608256/93096875 |
j-invariant |
L |
12.365679838439 |
L(r)(E,1)/r! |
Ω |
0.030616735330866 |
Real period |
R |
40.388629632803 |
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 |
38440f1 2480g1 |
Quadratic twists by: -4 -31 |