Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080u |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2614689720000 = -1 · 26 · 313 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -1 4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2832,51842] |
[a1,a2,a3,a4,a6] |
j |
53838872576/56041875 |
j-invariant |
L |
2.1437288520525 |
L(r)(E,1)/r! |
Ω |
0.53593206115417 |
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 |
118080du1 1845e1 39360q1 |
Quadratic twists by: -4 8 -3 |