Atkin-Lehner |
3+ 5+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
85095c |
Isogeny class |
Conductor |
85095 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
949915485 = 33 · 5 · 31 · 613 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 0 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1638,25473] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:1787:8] |
Generators of the group modulo torsion |
j |
18001207590912/35182055 |
j-invariant |
L |
4.9833095815653 |
L(r)(E,1)/r! |
Ω |
1.5700675723687 |
Real period |
R |
4.7609189025591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849669 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85095f2 |
Quadratic twists by: -3 |