Atkin-Lehner |
2+ 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
124630c |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-44157929486000 = -1 · 24 · 53 · 118 · 103 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 11- 0 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7742,186212] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:250:1] |
Generators of the group modulo torsion |
j |
28962726911/24926000 |
j-invariant |
L |
2.4805254986275 |
L(r)(E,1)/r! |
Ω |
0.4159490096816 |
Real period |
R |
1.4908831979231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997569842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330h1 |
Quadratic twists by: -11 |