Atkin-Lehner |
2+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61370i |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9325674465813100 = 22 · 52 · 172 · 199 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 6 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-134179,18372153] |
[a1,a2,a3,a4,a6] |
j |
827936019/28900 |
j-invariant |
L |
1.6290372218725 |
L(r)(E,1)/r! |
Ω |
0.40725930507224 |
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 |
61370u2 |
Quadratic twists by: -19 |