Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160bd |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-28056133506800 = -1 · 24 · 52 · 78 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 2 5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45880,3806447] |
[a1,a2,a3,a4,a6] |
Generators |
[19:1715:1] |
Generators of the group modulo torsion |
j |
-5674076449024/14904575 |
j-invariant |
L |
6.3673262426692 |
L(r)(E,1)/r! |
Ω |
0.66712210522437 |
Real period |
R |
2.3861172460244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45080n1 12880c1 |
Quadratic twists by: -4 -7 |