Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8880u |
Isogeny class |
Conductor |
8880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-13639680 = -1 · 213 · 32 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 1 2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,180] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
357911/3330 |
j-invariant |
L |
4.8155254040695 |
L(r)(E,1)/r! |
Ω |
1.6379885281873 |
Real period |
R |
0.36748772360135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1110a1 35520cd1 26640bn1 44400bf1 |
Quadratic twists by: -4 8 -3 5 |