Atkin-Lehner |
2+ 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92414b |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
610848 |
Modular degree for the optimal curve |
Δ |
-20597648281236082 = -1 · 2 · 710 · 232 · 413 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,46770,-5683474] |
[a1,a2,a3,a4,a6] |
j |
40052618375/72918418 |
j-invariant |
L |
1.6084216322442 |
L(r)(E,1)/r! |
Ω |
0.20105270099799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92414a1 |
Quadratic twists by: -7 |