Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14640bg |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-377269927280640 = -1 · 237 · 32 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22280,1577460] |
[a1,a2,a3,a4,a6] |
j |
-298626824461321/92106915840 |
j-invariant |
L |
4.0547042348583 |
L(r)(E,1)/r! |
Ω |
0.50683802935729 |
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 |
1830b1 58560ck1 43920bk1 73200bj1 |
Quadratic twists by: -4 8 -3 5 |