Atkin-Lehner |
2+ 11- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97526l |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
892800 |
Modular degree for the optimal curve |
Δ |
-55626141000007864 = -1 · 23 · 117 · 135 · 312 |
Discriminant |
Eigenvalues |
2+ 0 3 3 11- 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-255998,-51065492] |
[a1,a2,a3,a4,a6] |
Generators |
[1101:31085:1] |
Generators of the group modulo torsion |
j |
-1047317288239377/31399506424 |
j-invariant |
L |
7.3545917060872 |
L(r)(E,1)/r! |
Ω |
0.10593598797425 |
Real period |
R |
3.4712432735101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866j1 |
Quadratic twists by: -11 |