Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592o |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-760524666048 = -1 · 26 · 311 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2139,17624] |
[a1,a2,a3,a4,a6] |
Generators |
[4:162:1] |
Generators of the group modulo torsion |
j |
23197894208/16300683 |
j-invariant |
L |
6.7947629734186 |
L(r)(E,1)/r! |
Ω |
0.56896304525811 |
Real period |
R |
1.4927953209439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592f1 24864r1 |
Quadratic twists by: -4 -3 |