Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240p |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
14652900000000 = 28 · 37 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8103,-211898] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:252:1] |
Generators of the group modulo torsion |
j |
315278049616/78515625 |
j-invariant |
L |
6.1400843520063 |
L(r)(E,1)/r! |
Ω |
0.51238045449679 |
Real period |
R |
2.9958619118499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24120i1 16080l1 |
Quadratic twists by: -4 -3 |