Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
92120o |
Isogeny class |
Conductor |
92120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-2709456470000 = -1 · 24 · 54 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-343,-79233] |
[a1,a2,a3,a4,a6] |
Generators |
[49:147:1] |
Generators of the group modulo torsion |
j |
-48384/29375 |
j-invariant |
L |
6.2863520452334 |
L(r)(E,1)/r! |
Ω |
0.36353995127181 |
Real period |
R |
1.4410044013438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92120r1 |
Quadratic twists by: -7 |