Atkin-Lehner |
2- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328s |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7011072 |
Modular degree for the optimal curve |
Δ |
-5.2993960615578E+22 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 11- 1 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12265912,19905583472] |
[a1,a2,a3,a4,a6] |
j |
-49826838630005468394553/12937978665912504512 |
j-invariant |
L |
1.7072288236994 |
L(r)(E,1)/r! |
Ω |
0.10670179805832 |
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 |
12166i1 |
Quadratic twists by: -4 |