Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720o |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1572031041840 = -1 · 24 · 34 · 5 · 73 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1951,-69496] |
[a1,a2,a3,a4,a6] |
Generators |
[3290:66381:8] |
Generators of the group modulo torsion |
j |
-51356819421184/98251940115 |
j-invariant |
L |
6.6936307120447 |
L(r)(E,1)/r! |
Ω |
0.33803378332876 |
Real period |
R |
4.9504154925884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360s1 |
Quadratic twists by: -4 |