Atkin-Lehner |
2- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22550y |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-70468750 = -1 · 2 · 57 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- 5 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20,397] |
[a1,a2,a3,a4,a6] |
Generators |
[62:215:8] |
Generators of the group modulo torsion |
j |
59319/4510 |
j-invariant |
L |
7.338873719955 |
L(r)(E,1)/r! |
Ω |
1.4883170759171 |
Real period |
R |
2.4654940263428 |
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 |
4510e1 |
Quadratic twists by: 5 |