Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11840y |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-606208000 = -1 · 217 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 3 0 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,1185] |
[a1,a2,a3,a4,a6] |
j |
-2/4625 |
j-invariant |
L |
2.5895483424517 |
L(r)(E,1)/r! |
Ω |
1.2947741712259 |
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 |
11840e1 2960d1 106560fw1 59200dg1 |
Quadratic twists by: -4 8 -3 5 |