Atkin-Lehner |
2+ 3- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134x |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-240890377010550876 = -1 · 22 · 38 · 7 · 175 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,155168,-2019430] |
[a1,a2,a3,a4,a6] |
Generators |
[106:3899:1] |
Generators of the group modulo torsion |
j |
413175177936866394503/240890377010550876 |
j-invariant |
L |
4.3724740158295 |
L(r)(E,1)/r! |
Ω |
0.1846143519939 |
Real period |
R |
0.29605458409687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66402br1 |
Quadratic twists by: -3 |