Atkin-Lehner |
2- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328bc |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-54380673653211136 = -1 · 216 · 72 · 118 · 79 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-311051,-67708230] |
[a1,a2,a3,a4,a6] |
j |
-812565856976372577/13276531653616 |
j-invariant |
L |
1.6156981204817 |
L(r)(E,1)/r! |
Ω |
0.10098113271666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166l1 |
Quadratic twists by: -4 |