Atkin-Lehner |
2- 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
114798x |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2851200 |
Modular degree for the optimal curve |
Δ |
-398965906530791136 = -1 · 25 · 36 · 199 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -4 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1025789,-401123631] |
[a1,a2,a3,a4,a6] |
j |
-2537325859890457/8480357856 |
j-invariant |
L |
4.499552734013 |
L(r)(E,1)/r! |
Ω |
0.074992553229046 |
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 |
6042d1 |
Quadratic twists by: -19 |