Atkin-Lehner |
2+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
79424g |
Isogeny class |
Conductor |
79424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
20332544 = 214 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 2 -2 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1649,-25231] |
[a1,a2,a3,a4,a6] |
Generators |
[49:96:1] |
Generators of the group modulo torsion |
j |
30285104848/1241 |
j-invariant |
L |
8.6661159302008 |
L(r)(E,1)/r! |
Ω |
0.74915815845453 |
Real period |
R |
2.8919513963786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000001832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79424p1 9928b1 |
Quadratic twists by: -4 8 |