Atkin-Lehner |
3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49197c |
Isogeny class |
Conductor |
49197 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7282921631133 = 3 · 238 · 31 |
Discriminant |
Eigenvalues |
1 3+ 0 0 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-262130,51547059] |
[a1,a2,a3,a4,a6] |
j |
13455798261625/49197 |
j-invariant |
L |
2.609471461921 |
L(r)(E,1)/r! |
Ω |
0.65236786550827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2139a2 |
Quadratic twists by: -23 |