Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680bd |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
-1.8553632103001E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 13- -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2557308,-1587648868] |
[a1,a2,a3,a4,a6] |
Generators |
[1725480367:415102280697:29791] |
Generators of the group modulo torsion |
j |
-934577152/9375 |
j-invariant |
L |
3.0794141508228 |
L(r)(E,1)/r! |
Ω |
0.059657362946549 |
Real period |
R |
12.904585609779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999987411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60840bo1 40560n1 121680cb1 |
Quadratic twists by: -4 -3 13 |