Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480bg |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-320457052160 = -1 · 212 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,44080] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-98:1] |
Generators of the group modulo torsion |
j |
-1771561/665 |
j-invariant |
L |
4.4085326133623 |
L(r)(E,1)/r! |
Ω |
0.90804508695019 |
Real period |
R |
0.60687138175376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655j1 10640x1 |
Quadratic twists by: -4 -7 |