Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115596u |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1018368 |
Modular degree for the optimal curve |
Δ |
-494611287816612096 = -1 · 28 · 38 · 138 · 192 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -4 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,151593,25076558] |
[a1,a2,a3,a4,a6] |
j |
2530736/3249 |
j-invariant |
L |
2.3748520448002 |
L(r)(E,1)/r! |
Ω |
0.19790435047978 |
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 |
38532f1 115596n1 |
Quadratic twists by: -3 13 |