Atkin-Lehner |
2+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88088b |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1951488 |
Modular degree for the optimal curve |
Δ |
-7.5086726522551E+20 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 11- 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-907742,1359753593] |
[a1,a2,a3,a4,a6] |
j |
-199326099456/1809323971 |
j-invariant |
L |
0.27340518193478 |
L(r)(E,1)/r! |
Ω |
0.13670264023147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88088bf1 |
Quadratic twists by: -11 |