Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45980b |
Isogeny class |
Conductor |
45980 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
468170514048050000 = 24 · 55 · 1110 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-218768,21619433] |
[a1,a2,a3,a4,a6] |
j |
40850653446144/16516878125 |
j-invariant |
L |
1.6105733268824 |
L(r)(E,1)/r! |
Ω |
0.26842888779514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4180a1 |
Quadratic twists by: -11 |