Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504h |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-3223839744 = -1 · 210 · 33 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 -2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2224,-41212] |
[a1,a2,a3,a4,a6] |
Generators |
[56:114:1] |
Generators of the group modulo torsion |
j |
-1188566172868/3148281 |
j-invariant |
L |
6.4886741904996 |
L(r)(E,1)/r! |
Ω |
0.34753670977332 |
Real period |
R |
1.0372484095488 |
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 |
7752f1 62016bz1 46512m1 |
Quadratic twists by: -4 8 -3 |