Atkin-Lehner |
2+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109888h |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
8129953792 = 214 · 173 · 101 |
Discriminant |
Eigenvalues |
2+ 1 0 -1 -5 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-613,3715] |
[a1,a2,a3,a4,a6] |
Generators |
[6:17:1] [30:115:1] |
Generators of the group modulo torsion |
j |
1557376000/496213 |
j-invariant |
L |
12.425634775044 |
L(r)(E,1)/r! |
Ω |
1.2119637804739 |
Real period |
R |
3.4174934319397 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109888v1 13736b1 |
Quadratic twists by: -4 8 |