Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932k |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
366336 |
Modular degree for the optimal curve |
Δ |
-8892930816 = -1 · 28 · 33 · 73 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156264,23775876] |
[a1,a2,a3,a4,a6] |
Generators |
[-456:462:1] [228:-6:1] |
Generators of the group modulo torsion |
j |
-61051563970043904/1286593 |
j-invariant |
L |
9.7087598309132 |
L(r)(E,1)/r! |
Ω |
0.93948446586823 |
Real period |
R |
0.28705932124541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85932o1 |
Quadratic twists by: -3 |