Atkin-Lehner |
3+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
85731c |
Isogeny class |
Conductor |
85731 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
268176635134137 = 34 · 17 · 417 |
Discriminant |
Eigenvalues |
1 3+ -2 -4 0 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19366,-682841] |
[a1,a2,a3,a4,a6] |
j |
169112377/56457 |
j-invariant |
L |
0.83114132601466 |
L(r)(E,1)/r! |
Ω |
0.41557066431331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2091a1 |
Quadratic twists by: 41 |