Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112bt |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-895834075136 = -1 · 212 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1045,-47011] |
[a1,a2,a3,a4,a6] |
Generators |
[236:3577:1] |
Generators of the group modulo torsion |
j |
-262144/1859 |
j-invariant |
L |
5.3875225310435 |
L(r)(E,1)/r! |
Ω |
0.37228048538308 |
Real period |
R |
3.617918969203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7007a1 2288i1 |
Quadratic twists by: -4 -7 |