Atkin-Lehner |
2- 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45584i |
Isogeny class |
Conductor |
45584 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
60579592836460544 = 212 · 72 · 115 · 374 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13739824,19598296596] |
[a1,a2,a3,a4,a6] |
Generators |
[2076:5082:1] |
Generators of the group modulo torsion |
j |
70033737623583421776817/14789939657339 |
j-invariant |
L |
3.4026523350851 |
L(r)(E,1)/r! |
Ω |
0.27803941007203 |
Real period |
R |
1.2238021704207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2849a2 |
Quadratic twists by: -4 |