Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9360bi |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
307054800 = 24 · 310 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-948,11203] |
[a1,a2,a3,a4,a6] |
Generators |
[29:90:1] |
Generators of the group modulo torsion |
j |
8077950976/26325 |
j-invariant |
L |
4.3153835879463 |
L(r)(E,1)/r! |
Ω |
1.7300732950565 |
Real period |
R |
1.2471678512919 |
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 |
2340e1 37440fs1 3120w1 46800ea1 |
Quadratic twists by: -4 8 -3 5 |