Atkin-Lehner |
5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
70805br |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
2407409721605 = 5 · 78 · 174 |
Discriminant |
Eigenvalues |
-2 2 5- 7- -3 0 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4720,101618] |
[a1,a2,a3,a4,a6] |
j |
1183744/245 |
j-invariant |
L |
1.5445237163259 |
L(r)(E,1)/r! |
Ω |
0.77226186419995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115d1 70805t1 |
Quadratic twists by: -7 17 |