Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680t |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.6648418163581E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2398188,-1093170512] |
[a1,a2,a3,a4,a6] |
Generators |
[-111180:2292088:125] |
Generators of the group modulo torsion |
j |
7981893677157049/1917731420550 |
j-invariant |
L |
4.8134429926122 |
L(r)(E,1)/r! |
Ω |
0.12343666786713 |
Real period |
R |
9.748811021441 |
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 |
31680ci4 990k3 10560z3 |
Quadratic twists by: -4 8 -3 |