Atkin-Lehner |
5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6845a |
Isogeny class |
Conductor |
6845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
2373296928325 = 52 · 377 |
Discriminant |
Eigenvalues |
0 -1 5+ -3 -5 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7301,230841] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:684:1] |
Generators of the group modulo torsion |
j |
16777216/925 |
j-invariant |
L |
1.6036582800185 |
L(r)(E,1)/r! |
Ω |
0.80528732063321 |
Real period |
R |
0.24892641404647 |
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 |
109520i1 61605j1 34225a1 185b1 |
Quadratic twists by: -4 -3 5 37 |