Atkin-Lehner |
2+ 3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15990j |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-672082185937500 = -1 · 22 · 39 · 58 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11753,1339256] |
[a1,a2,a3,a4,a6] |
Generators |
[105:-1178:1] |
Generators of the group modulo torsion |
j |
-179521637622343561/672082185937500 |
j-invariant |
L |
4.200053460233 |
L(r)(E,1)/r! |
Ω |
0.44617945245554 |
Real period |
R |
0.13074128697664 |
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 |
127920bj1 47970bd1 79950bg1 |
Quadratic twists by: -4 -3 5 |