Atkin-Lehner |
2- 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
99280bd |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
39712000 = 28 · 53 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- 0 0 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:10:1] |
Generators of the group modulo torsion |
j |
268435456/155125 |
j-invariant |
L |
8.2758463057658 |
L(r)(E,1)/r! |
Ω |
1.7341418479203 |
Real period |
R |
0.79538344553872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24820b1 |
Quadratic twists by: -4 |