Atkin-Lehner |
5- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
97825t |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
399600 |
Modular degree for the optimal curve |
Δ |
-2139140803515625 = -1 · 58 · 73 · 135 · 43 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 5 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72055,7788072] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:3440:1] |
Generators of the group modulo torsion |
j |
-105913274296545/5476200457 |
j-invariant |
L |
4.7065688785859 |
L(r)(E,1)/r! |
Ω |
0.45809010607604 |
Real period |
R |
0.22831844209661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97825b1 |
Quadratic twists by: 5 |