Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200cf |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-12410880000000 = -1 · 219 · 3 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 0 -3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5592,51312] |
[a1,a2,a3,a4,a6] |
Generators |
[2:250:1] |
Generators of the group modulo torsion |
j |
302111711/193920 |
j-invariant |
L |
3.7070552671179 |
L(r)(E,1)/r! |
Ω |
0.44374218511312 |
Real period |
R |
2.0885186183295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150n1 24240bi1 |
Quadratic twists by: -4 5 |