Atkin-Lehner |
2- 3+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090bi |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
450 |
Product of Tamagawa factors cp |
deg |
13406400 |
Modular degree for the optimal curve |
Δ |
3.1067111685567E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-109790920,-442022882743] |
[a1,a2,a3,a4,a6] |
Generators |
[-6203:22701:1] |
Generators of the group modulo torsion |
j |
25388594846798277036481/53891039232000000 |
j-invariant |
L |
8.779959758113 |
L(r)(E,1)/r! |
Ω |
0.046645884683824 |
Real period |
R |
0.41827959353021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69090bt1 |
Quadratic twists by: -7 |