Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110n |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-312727531683840 = -1 · 220 · 3 · 5 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14137,-1074779] |
[a1,a2,a3,a4,a6] |
j |
-2656166199049/2658140160 |
j-invariant |
L |
1.6833743188682 |
L(r)(E,1)/r! |
Ω |
0.21042178985853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330eg1 95550jf1 390g1 |
Quadratic twists by: -3 5 -7 |