Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960cl |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
29606512500000000 = 28 · 38 · 511 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -3 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3495468,-2515380892] |
[a1,a2,a3,a4,a6] |
j |
70107585212548096/439453125 |
j-invariant |
L |
0.44165561342887 |
L(r)(E,1)/r! |
Ω |
0.11041380725691 |
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 |
43320j1 129960m1 |
Quadratic twists by: -3 -19 |