Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5580b |
Isogeny class |
Conductor |
5580 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
504409680 = 24 · 38 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,-767] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:9:1] |
Generators of the group modulo torsion |
j |
112377856/43245 |
j-invariant |
L |
4.0854177598776 |
L(r)(E,1)/r! |
Ω |
1.2692900067127 |
Real period |
R |
1.0728879237662 |
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 |
22320br1 89280cd1 1860b1 27900e1 |
Quadratic twists by: -4 8 -3 5 |