Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2320b |
Isogeny class |
Conductor |
2320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
7250000 = 24 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51,40] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:14:1] |
Generators of the group modulo torsion |
j |
934979584/453125 |
j-invariant |
L |
2.3409182078589 |
L(r)(E,1)/r! |
Ω |
2.0942601234004 |
Real period |
R |
2.2355563014378 |
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 |
1160a1 9280t1 20880bc1 11600e1 |
Quadratic twists by: -4 8 -3 5 |