Atkin-Lehner |
3+ 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98049b |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
199584 |
Modular degree for the optimal curve |
Δ |
-54919881339561 = -1 · 33 · 78 · 233 · 29 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 1 -5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9211,110396] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-1750:1] |
Generators of the group modulo torsion |
j |
14991903983/9526761 |
j-invariant |
L |
1.8606247526197 |
L(r)(E,1)/r! |
Ω |
0.39117651003412 |
Real period |
R |
0.52849820656725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999816256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98049x1 |
Quadratic twists by: -7 |