Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120bn |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-824264622080 = -1 · 225 · 5 · 173 |
Discriminant |
Eigenvalues |
2- -3 5- -4 2 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2227,-59534] |
[a1,a2,a3,a4,a6] |
Generators |
[425:8704:1] |
Generators of the group modulo torsion |
j |
-60698457/40960 |
j-invariant |
L |
2.8694513617694 |
L(r)(E,1)/r! |
Ω |
0.33734332634253 |
Real period |
R |
1.0632533452195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2890j1 92480dm1 115600cc1 23120u1 |
Quadratic twists by: -4 8 5 17 |