Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090bl |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-8001363637968750 = -1 · 2 · 33 · 57 · 79 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8625,4311117] |
[a1,a2,a3,a4,a6] |
Generators |
[846:16723:8] |
Generators of the group modulo torsion |
j |
-1758416743/198281250 |
j-invariant |
L |
8.4642286502617 |
L(r)(E,1)/r! |
Ω |
0.34082269841717 |
Real period |
R |
1.7739069712334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69090bs1 |
Quadratic twists by: -7 |