Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200k |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
-44880000000 = -1 · 210 · 3 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 11- -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,10812] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-100:1] |
Generators of the group modulo torsion |
j |
-470596/2805 |
j-invariant |
L |
3.477312193036 |
L(r)(E,1)/r! |
Ω |
0.98196987377387 |
Real period |
R |
0.88528994561311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999092636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22440v1 |
Quadratic twists by: 5 |