Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290cy |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-234471405184940000 = -1 · 25 · 54 · 713 · 112 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1952651,-1051303527] |
[a1,a2,a3,a4,a6] |
j |
-57839429434456681/16470860000 |
j-invariant |
L |
1.2771325589307 |
L(r)(E,1)/r! |
Ω |
0.063856628028997 |
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 |
8470bf1 59290r1 |
Quadratic twists by: -7 -11 |