Atkin-Lehner |
2+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328d |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-58035518464 = -1 · 210 · 72 · 114 · 79 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,968,0] |
[a1,a2,a3,a4,a6] |
Generators |
[8712:813120:1] |
Generators of the group modulo torsion |
j |
97859073308/56675311 |
j-invariant |
L |
12.447001527171 |
L(r)(E,1)/r! |
Ω |
0.6672586065737 |
Real period |
R |
4.6634848261945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999835742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48664h1 |
Quadratic twists by: -4 |