Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11760u |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-531284060160 = -1 · 211 · 32 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1944,12564] |
[a1,a2,a3,a4,a6] |
j |
68782/45 |
j-invariant |
L |
2.3167510304282 |
L(r)(E,1)/r! |
Ω |
0.57918775760706 |
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 |
5880b1 47040ew1 35280cb1 58800j1 |
Quadratic twists by: -4 8 -3 5 |