Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600de |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-98609135616000000 = -1 · 226 · 37 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63592,-13768812] |
[a1,a2,a3,a4,a6] |
j |
444369620591/1540767744 |
j-invariant |
L |
2.4025676114912 |
L(r)(E,1)/r! |
Ω |
0.17161197227607 |
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 |
6450a1 2064e1 |
Quadratic twists by: -4 5 |