Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576bk |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2311204110336 = 223 · 32 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11- 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29921,-2000769] |
[a1,a2,a3,a4,a6] |
Generators |
[307:-4224:1] |
Generators of the group modulo torsion |
j |
11301253512121/8816544 |
j-invariant |
L |
7.9761399572394 |
L(r)(E,1)/r! |
Ω |
0.36301507273129 |
Real period |
R |
0.91549687560914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576ce1 1518a1 |
Quadratic twists by: -4 8 |