Atkin-Lehner |
2+ 5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
108290c |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1766016 |
Modular degree for the optimal curve |
Δ |
-2199676919070312500 = -1 · 22 · 59 · 78 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 4 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,238507,55613713] |
[a1,a2,a3,a4,a6] |
Generators |
[216:-10937:1] |
Generators of the group modulo torsion |
j |
260279483475431/381570312500 |
j-invariant |
L |
4.0394906108781 |
L(r)(E,1)/r! |
Ω |
0.1763512417954 |
Real period |
R |
0.954414093357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998951976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108290o1 |
Quadratic twists by: -7 |