Atkin-Lehner |
5- 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
97825p |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
116480 |
Modular degree for the optimal curve |
Δ |
-4791675399875 = -1 · 53 · 74 · 135 · 43 |
Discriminant |
Eigenvalues |
-1 -1 5- 7+ -2 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,917,105156] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:242:1] [-4:320:1] |
Generators of the group modulo torsion |
j |
682169197627/38333403199 |
j-invariant |
L |
5.4049837913077 |
L(r)(E,1)/r! |
Ω |
0.5863597463594 |
Real period |
R |
0.46089314839503 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97825q1 |
Quadratic twists by: 5 |