Atkin-Lehner |
3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9405c |
Isogeny class |
Conductor |
9405 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-928164166875 = -1 · 39 · 54 · 11 · 193 |
Discriminant |
Eigenvalues |
-2 3+ 5- 0 11+ -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-27,46352] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-1283:1] |
Generators of the group modulo torsion |
j |
-110592/47155625 |
j-invariant |
L |
2.2862220930897 |
L(r)(E,1)/r! |
Ω |
0.70336009923118 |
Real period |
R |
0.13543454339088 |
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 |
9405b1 47025d1 103455e1 |
Quadratic twists by: -3 5 -11 |