Atkin-Lehner |
2- 3- 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614bg |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-327033650921472 = -1 · 214 · 39 · 112 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11236,-742305] |
[a1,a2,a3,a4,a6] |
j |
215212558830983/448605831168 |
j-invariant |
L |
7.8981593876266 |
L(r)(E,1)/r! |
Ω |
0.28207713004096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32538f1 |
Quadratic twists by: -3 |