Atkin-Lehner |
2- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21112f |
Isogeny class |
Conductor |
21112 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
3231444944 = 24 · 72 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 2 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8099,283244] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:609:1] |
Generators of the group modulo torsion |
j |
3672413274007552/201965309 |
j-invariant |
L |
6.6942276545237 |
L(r)(E,1)/r! |
Ω |
1.3388767246411 |
Real period |
R |
0.83331391796836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42224b1 |
Quadratic twists by: -4 |