Atkin-Lehner |
2+ 3+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050u |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1599360 |
Modular degree for the optimal curve |
Δ |
-3446502048000000000 = -1 · 214 · 37 · 59 · 113 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,90175,88747125] |
[a1,a2,a3,a4,a6] |
j |
41518781649883/1764609048576 |
j-invariant |
L |
2.2772311187623 |
L(r)(E,1)/r! |
Ω |
0.18976926030686 |
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 |
61050da1 |
Quadratic twists by: 5 |