Atkin-Lehner |
2+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85952g |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
116654885172150272 = 240 · 17 · 792 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185153,-25952225] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:2060:1] [557:6636:1] |
Generators of the group modulo torsion |
j |
2677801592364625/445003071488 |
j-invariant |
L |
7.3547689824103 |
L(r)(E,1)/r! |
Ω |
0.23275104196672 |
Real period |
R |
15.79964781302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85952p1 2686d1 |
Quadratic twists by: -4 8 |