Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200bw |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
49572000000 = 28 · 36 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-975,4750] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:72:1] |
Generators of the group modulo torsion |
j |
35152/17 |
j-invariant |
L |
4.1603489126799 |
L(r)(E,1)/r! |
Ω |
1.0036463192169 |
Real period |
R |
2.0726170330774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30600ci1 6800d1 2448c1 |
Quadratic twists by: -4 -3 5 |