Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240b |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-249696000 = -1 · 28 · 33 · 53 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57,742] |
[a1,a2,a3,a4,a6] |
j |
2963088/36125 |
j-invariant |
L |
2.5896461349589 |
L(r)(E,1)/r! |
Ω |
1.2948230674794 |
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 |
6120a1 48960du1 12240d1 61200a1 |
Quadratic twists by: -4 8 -3 5 |