Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710cc |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
-639086140214892810 = -1 · 2 · 313 · 5 · 119 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,213865,-5407225] |
[a1,a2,a3,a4,a6] |
Generators |
[4091206190:8273128137877:1000] |
Generators of the group modulo torsion |
j |
610641930681719/360747465210 |
j-invariant |
L |
10.563502343388 |
L(r)(E,1)/r! |
Ω |
0.16892678797896 |
Real period |
R |
15.633255195594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610h1 |
Quadratic twists by: -11 |