Atkin-Lehner |
3- 5+ 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
85095l |
Isogeny class |
Conductor |
85095 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
274432 |
Modular degree for the optimal curve |
Δ |
-145499504752935 = -1 · 37 · 5 · 312 · 614 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8460,655195] |
[a1,a2,a3,a4,a6] |
Generators |
[33684:745231:64] |
Generators of the group modulo torsion |
j |
-91862053306561/199587798015 |
j-invariant |
L |
8.8893592479444 |
L(r)(E,1)/r! |
Ω |
0.5150278244072 |
Real period |
R |
4.3149898079425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28365e1 |
Quadratic twists by: -3 |