Atkin-Lehner |
2- 3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98022v |
Isogeny class |
Conductor |
98022 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-291713472 = -1 · 26 · 32 · 17 · 313 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-237,-1647] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1181:1] |
Generators of the group modulo torsion |
j |
-49430863/9792 |
j-invariant |
L |
15.358412206617 |
L(r)(E,1)/r! |
Ω |
0.6019470026743 |
Real period |
R |
4.2524264702686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98022p1 |
Quadratic twists by: -31 |