Atkin-Lehner |
2- 3+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58344f |
Isogeny class |
Conductor |
58344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
119243933952 = 28 · 3 · 11 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2244,38148] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:272:1] |
Generators of the group modulo torsion |
j |
4883664557392/465796617 |
j-invariant |
L |
2.9026099788742 |
L(r)(E,1)/r! |
Ω |
1.0198429585236 |
Real period |
R |
1.4230671275337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994178 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116688g1 |
Quadratic twists by: -4 |