Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800u |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6929218483200 = -1 · 210 · 36 · 52 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2445,-117790] |
[a1,a2,a3,a4,a6] |
j |
86614940/371293 |
j-invariant |
L |
1.5116586475365 |
L(r)(E,1)/r! |
Ω |
0.37791466197149 |
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 |
23400j1 5200d1 46800br1 |
Quadratic twists by: -4 -3 5 |