Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240bd |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-10456593750000 = -1 · 24 · 39 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,567,-155493] |
[a1,a2,a3,a4,a6] |
Generators |
[6330:6939:125] |
Generators of the group modulo torsion |
j |
64012032/33203125 |
j-invariant |
L |
4.1061576194557 |
L(r)(E,1)/r! |
Ω |
0.33781968709492 |
Real period |
R |
6.0774397945345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3060c2 48960dw2 12240bh1 61200da2 |
Quadratic twists by: -4 8 -3 5 |