Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2576l |
Isogeny class |
Conductor |
2576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
659456 = 212 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,170] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
5545233/161 |
j-invariant |
L |
3.3797059681918 |
L(r)(E,1)/r! |
Ω |
2.8632216870712 |
Real period |
R |
1.1803857114707 |
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 |
161a2 10304w1 23184bj1 64400bo1 |
Quadratic twists by: -4 8 -3 5 |