Atkin-Lehner |
2+ 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
92046d |
Isogeny class |
Conductor |
92046 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
585728 |
Modular degree for the optimal curve |
Δ |
-105505770233856 = -1 · 213 · 3 · 236 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 -6 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29899,2037949] |
[a1,a2,a3,a4,a6] |
Generators |
[105:212:1] |
Generators of the group modulo torsion |
j |
-19968681097/712704 |
j-invariant |
L |
1.6692428507458 |
L(r)(E,1)/r! |
Ω |
0.59199729842142 |
Real period |
R |
1.4098399182914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
174e1 |
Quadratic twists by: -23 |