Atkin-Lehner |
3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675bc |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
2483441015625 = 39 · 58 · 17 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1022067,397966216] |
[a1,a2,a3,a4,a6] |
Generators |
[-376:27188:1] |
Generators of the group modulo torsion |
j |
10366078551442921/218025 |
j-invariant |
L |
6.1997443098429 |
L(r)(E,1)/r! |
Ω |
0.5875152684912 |
Real period |
R |
2.6381205054715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24225a1 14535e1 |
Quadratic twists by: -3 5 |