Atkin-Lehner |
3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
49245bd |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
35899605 = 37 · 5 · 72 · 67 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 1 -6 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1080,13304] |
[a1,a2,a3,a4,a6] |
Generators |
[18:4:1] |
Generators of the group modulo torsion |
j |
2845777629184/732645 |
j-invariant |
L |
3.4848551966639 |
L(r)(E,1)/r! |
Ω |
2.010883559633 |
Real period |
R |
0.24757100145543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49245b1 |
Quadratic twists by: -7 |