Atkin-Lehner |
2+ 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446d |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-6775695091242 = -1 · 2 · 39 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37755,-2842209] |
[a1,a2,a3,a4,a6] |
j |
-50591419971625/57592458 |
j-invariant |
L |
0.34247178368173 |
L(r)(E,1)/r! |
Ω |
0.17123589195258 |
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 |
8778k1 |
Quadratic twists by: -7 |