Atkin-Lehner |
3+ 5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77805c |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-100095495666075 = -1 · 39 · 52 · 77 · 13 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -5 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,11502,79184] |
[a1,a2,a3,a4,a6] |
Generators |
[24:607:1] |
Generators of the group modulo torsion |
j |
8549732155392/5085378025 |
j-invariant |
L |
3.4420656074899 |
L(r)(E,1)/r! |
Ω |
0.36518504577874 |
Real period |
R |
2.3563845571194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77805h1 |
Quadratic twists by: -3 |