Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cr |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-4996211253750000 = -1 · 24 · 33 · 57 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19562,-3225469] |
[a1,a2,a3,a4,a6] |
Generators |
[2359:113613:1] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
7.1701326341828 |
L(r)(E,1)/r! |
Ω |
0.21604124272561 |
Real period |
R |
4.1485901845192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870u1 150c1 |
Quadratic twists by: 5 -23 |