Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440r |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1995840 |
Modular degree for the optimal curve |
Δ |
-9.9048698477595E+18 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,476215,-83396403] |
[a1,a2,a3,a4,a6] |
Generators |
[56917:13579726:1] |
Generators of the group modulo torsion |
j |
396555344454656/328867205355 |
j-invariant |
L |
5.1211002098691 |
L(r)(E,1)/r! |
Ω |
0.12690378948724 |
Real period |
R |
10.088548637644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1560d1 |
Quadratic twists by: -7 |