Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8880q |
Isogeny class |
Conductor |
8880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
504668160 = 213 · 32 · 5 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-816,-8640] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:8:1] |
Generators of the group modulo torsion |
j |
14688124849/123210 |
j-invariant |
L |
2.8788734701218 |
L(r)(E,1)/r! |
Ω |
0.89361906244047 |
Real period |
R |
0.80539728591387 |
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 |
1110o2 35520cy2 26640ce2 44400cm2 |
Quadratic twists by: -4 8 -3 5 |