Atkin-Lehner |
3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11109k |
Isogeny class |
Conductor |
11109 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-3063760677148563 = -1 · 35 · 7 · 239 |
Discriminant |
Eigenvalues |
2 3- -4 7- 5 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-50960,5150045] |
[a1,a2,a3,a4,a6] |
j |
-98867482624/20696067 |
j-invariant |
L |
4.3058915874598 |
L(r)(E,1)/r! |
Ω |
0.43058915874598 |
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 |
33327r1 77763r1 483a1 |
Quadratic twists by: -3 -7 -23 |