Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646ck |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-9.2416686952185E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -5 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,987025,267094599] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:10482:1] [2733:-154248:1] |
Generators of the group modulo torsion |
j |
6043486088375/5252055888 |
j-invariant |
L |
16.218779363728 |
L(r)(E,1)/r! |
Ω |
0.12380913925554 |
Real period |
R |
0.4093695006621 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882a1 7038m1 |
Quadratic twists by: -3 17 |