Atkin-Lehner |
2- 3+ 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bz |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
2927808 |
Modular degree for the optimal curve |
Δ |
623986606080000 = 226 · 33 · 54 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17571913,-28358863369] |
[a1,a2,a3,a4,a6] |
Generators |
[-65355:32744:27] |
Generators of the group modulo torsion |
j |
960065424528510144875425/998378569728 |
j-invariant |
L |
9.7981464326184 |
L(r)(E,1)/r! |
Ω |
0.073738583979412 |
Real period |
R |
1.703548606378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650y1 |
Quadratic twists by: 5 |