Atkin-Lehner |
2+ 7- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69874c |
Isogeny class |
Conductor |
69874 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
335534948 = 22 · 76 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-761,-8088] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:8:1] [33:38:1] |
Generators of the group modulo torsion |
j |
413493625/2852 |
j-invariant |
L |
5.987311819476 |
L(r)(E,1)/r! |
Ω |
0.90949914248766 |
Real period |
R |
6.5830868219548 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1426a1 |
Quadratic twists by: -7 |