Atkin-Lehner |
2- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328o |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-2981877938636455936 = -1 · 230 · 74 · 114 · 79 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 11+ -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-267184,-98542656] |
[a1,a2,a3,a4,a6] |
Generators |
[12403673299800:-2490740233670656:307546875] |
Generators of the group modulo torsion |
j |
-514987552087139377/727997543612416 |
j-invariant |
L |
6.6868757915336 |
L(r)(E,1)/r! |
Ω |
0.099868261704566 |
Real period |
R |
16.739241432411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166p1 |
Quadratic twists by: -4 |