Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562v |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
22346746684416 = 210 · 39 · 72 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14744,-646757] |
[a1,a2,a3,a4,a6] |
j |
18007390031931/1135332352 |
j-invariant |
L |
4.349714145042 |
L(r)(E,1)/r! |
Ω |
0.43497141450419 |
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 |
23562e1 |
Quadratic twists by: -3 |