Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ga |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
38475000000 = 26 · 34 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,8262] |
[a1,a2,a3,a4,a6] |
Generators |
[47:250:1] |
Generators of the group modulo torsion |
j |
113379904/38475 |
j-invariant |
L |
5.0728017952827 |
L(r)(E,1)/r! |
Ω |
1.0601163899838 |
Real period |
R |
2.3925683291243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200hp1 45600br2 18240ct1 |
Quadratic twists by: -4 8 5 |