Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550bd |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-42507990000000000 = -1 · 210 · 36 · 510 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32667,10184741] |
[a1,a2,a3,a4,a6] |
Generators |
[109:-2867:1] |
Generators of the group modulo torsion |
j |
-338463151209/3731840000 |
j-invariant |
L |
3.6961279306652 |
L(r)(E,1)/r! |
Ω |
0.30749578789217 |
Real period |
R |
1.5025116099535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5950k1 10710bl1 |
Quadratic twists by: -3 5 |