Atkin-Lehner |
3- 7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
58149g |
Isogeny class |
Conductor |
58149 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-278124864381 = -1 · 316 · 7 · 13 · 71 |
Discriminant |
Eigenvalues |
-1 3- -3 7+ 2 13- -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5324,-150316] |
[a1,a2,a3,a4,a6] |
j |
-22889370414457/381515589 |
j-invariant |
L |
1.1167259264321 |
L(r)(E,1)/r! |
Ω |
0.27918148135028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19383c1 |
Quadratic twists by: -3 |