Atkin-Lehner |
2+ 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49104b |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3137156352 = 28 · 33 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-375,742] |
[a1,a2,a3,a4,a6] |
j |
843750000/453871 |
j-invariant |
L |
2.4811427473138 |
L(r)(E,1)/r! |
Ω |
1.2405713734809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24552k2 49104e2 |
Quadratic twists by: -4 -3 |