Atkin-Lehner |
2- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
100928bd |
Isogeny class |
Conductor |
100928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-2144518144 = -1 · 214 · 19 · 832 |
Discriminant |
Eigenvalues |
2- -2 -1 -1 1 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,299,-909] |
[a1,a2,a3,a4,a6] |
Generators |
[26:83:8] |
Generators of the group modulo torsion |
j |
179830784/130891 |
j-invariant |
L |
3.4365333633541 |
L(r)(E,1)/r! |
Ω |
0.82285335853272 |
Real period |
R |
2.0881809230974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999760362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100928c1 25232h1 |
Quadratic twists by: -4 8 |