Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050j |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
750781250 = 2 · 58 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 4 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242,666] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:48:1] |
Generators of the group modulo torsion |
j |
4185/2 |
j-invariant |
L |
4.2701970652545 |
L(r)(E,1)/r! |
Ω |
1.4253214664208 |
Real period |
R |
2.9959536608625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48050s1 48050g1 |
Quadratic twists by: 5 -31 |