Atkin-Lehner |
2+ 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904i |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4311552 |
Modular degree for the optimal curve |
Δ |
-1612353726221056 = -1 · 28 · 77 · 133 · 592 |
Discriminant |
Eigenvalues |
2+ 2 1 7- 2 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123950505,531195451013] |
[a1,a2,a3,a4,a6] |
Generators |
[6428:21:1] |
Generators of the group modulo torsion |
j |
-822675666754661647439297536/6298256743051 |
j-invariant |
L |
11.221872838461 |
L(r)(E,1)/r! |
Ω |
0.23406431357325 |
Real period |
R |
3.424538893907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42952a1 |
Quadratic twists by: -4 |