Atkin-Lehner |
2- 3- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110cg |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-2899689062400 = -1 · 214 · 38 · 52 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5558,180677] |
[a1,a2,a3,a4,a6] |
Generators |
[33:163:1] [-47:603:1] |
Generators of the group modulo torsion |
j |
-26042253021721/3977625600 |
j-invariant |
L |
13.798876515519 |
L(r)(E,1)/r! |
Ω |
0.77587492745651 |
Real period |
R |
0.63517585243044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370o1 |
Quadratic twists by: -3 |