Atkin-Lehner |
2- 5- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22610t |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
-10129280 = -1 · 27 · 5 · 72 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 5 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-130,580] |
[a1,a2,a3,a4,a6] |
Generators |
[12:22:1] |
Generators of the group modulo torsion |
j |
-243087455521/10129280 |
j-invariant |
L |
10.054067999654 |
L(r)(E,1)/r! |
Ω |
2.2707283298226 |
Real period |
R |
0.31626315875363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050w1 |
Quadratic twists by: 5 |