Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18648m |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8879639344128 = 210 · 314 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -4 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5403,53030] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:360:1] |
Generators of the group modulo torsion |
j |
23366901604/11895093 |
j-invariant |
L |
6.5691971573084 |
L(r)(E,1)/r! |
Ω |
0.64640686228718 |
Real period |
R |
2.5406588097103 |
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 |
37296l2 6216p2 |
Quadratic twists by: -4 -3 |