Atkin-Lehner |
2+ 11- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61864d |
Isogeny class |
Conductor |
61864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-6445733888 = -1 · 211 · 112 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ -1 0 3 11- 5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-3860] |
[a1,a2,a3,a4,a6] |
j |
-31250/3147331 |
j-invariant |
L |
2.443992098159 |
L(r)(E,1)/r! |
Ω |
0.61099802404412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123728b1 |
Quadratic twists by: -4 |