Atkin-Lehner |
2+ 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6042c |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-12661106436145152 = -1 · 216 · 312 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54634,7289428] |
[a1,a2,a3,a4,a6] |
j |
-18035372956865677993/12661106436145152 |
j-invariant |
L |
1.1047847438589 |
L(r)(E,1)/r! |
Ω |
0.3682615812863 |
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 |
48336bl1 18126t1 114798bc1 |
Quadratic twists by: -4 -3 -19 |