Atkin-Lehner |
2- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
122210j |
Isogeny class |
Conductor |
122210 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
528000 |
Modular degree for the optimal curve |
Δ |
-3848547903342560 = -1 · 25 · 5 · 119 · 1012 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11+ -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1636,-2985531] |
[a1,a2,a3,a4,a6] |
Generators |
[171:1245:1] |
Generators of the group modulo torsion |
j |
-205379/1632160 |
j-invariant |
L |
5.8844453487689 |
L(r)(E,1)/r! |
Ω |
0.20076413664236 |
Real period |
R |
1.4655120680046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122210a1 |
Quadratic twists by: -11 |