Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800w |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
459264 |
Modular degree for the optimal curve |
Δ |
33008225662800 = 24 · 319 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 1 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114330,-14876935] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:47:1] |
Generators of the group modulo torsion |
j |
566782983485440/113196933 |
j-invariant |
L |
7.3872543096207 |
L(r)(E,1)/r! |
Ω |
0.25963587981547 |
Real period |
R |
3.556545394456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999578662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600q1 127800bv1 |
Quadratic twists by: -3 5 |