Atkin-Lehner |
2+ 3- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970bd |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1214280683550 = -1 · 2 · 311 · 52 · 113 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-999,54643] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-475:1] |
Generators of the group modulo torsion |
j |
-151334226289/1665679950 |
j-invariant |
L |
6.2795603435577 |
L(r)(E,1)/r! |
Ω |
0.73541880151708 |
Real period |
R |
0.35578142434801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999599532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33990u1 |
Quadratic twists by: -3 |