Atkin-Lehner |
2- 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050br |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-60988950 = -1 · 2 · 34 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -7 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-88,-529] |
[a1,a2,a3,a4,a6] |
j |
-3016755625/2439558 |
j-invariant |
L |
3.0133296682765 |
L(r)(E,1)/r! |
Ω |
0.75333241754738 |
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 |
61050bf1 |
Quadratic twists by: 5 |