Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800bs |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3790800000000 = -1 · 210 · 36 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-98750] |
[a1,a2,a3,a4,a6] |
j |
-2500/13 |
j-invariant |
L |
1.3074498416375 |
L(r)(E,1)/r! |
Ω |
0.32686246036901 |
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 |
23400w1 5200m1 46800t1 |
Quadratic twists by: -4 -3 5 |