Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480l |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-147220070400 = -1 · 224 · 33 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,18817] |
[a1,a2,a3,a4,a6] |
j |
-24137569/561600 |
j-invariant |
L |
1.7283206629541 |
L(r)(E,1)/r! |
Ω |
0.86416033147703 |
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 |
12480cy1 390c1 37440bg1 62400cx1 |
Quadratic twists by: -4 8 -3 5 |