Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11424h |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
388416 = 26 · 3 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22,20] |
[a1,a2,a3,a4,a6] |
Generators |
[10:30:1] |
Generators of the group modulo torsion |
j |
19248832/6069 |
j-invariant |
L |
5.8379524809152 |
L(r)(E,1)/r! |
Ω |
2.778792703342 |
Real period |
R |
2.1008952822908 |
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 |
11424p1 22848i2 34272bf1 79968k1 |
Quadratic twists by: -4 8 -3 -7 |