Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680g |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-114004810800 = -1 · 24 · 37 · 52 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-858,18907] |
[a1,a2,a3,a4,a6] |
j |
-5988775936/9774075 |
j-invariant |
L |
1.8861940725298 |
L(r)(E,1)/r! |
Ω |
0.94309703626489 |
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 |
6840r1 54720et1 4560g1 68400be1 |
Quadratic twists by: -4 8 -3 5 |