Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
49056g |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-105533976576 = -1 · 212 · 3 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -4 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,755,13691] |
[a1,a2,a3,a4,a6] |
Generators |
[1695:15092:27] |
Generators of the group modulo torsion |
j |
11604575744/25765131 |
j-invariant |
L |
7.8553176406598 |
L(r)(E,1)/r! |
Ω |
0.73569150616889 |
Real period |
R |
2.6693653436317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49056e1 98112bg1 |
Quadratic twists by: -4 8 |