Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880de |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
302613750691560000 = 26 · 312 · 54 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1389513,-629881688] |
[a1,a2,a3,a4,a6] |
j |
6359222970735949504/6486062900625 |
j-invariant |
L |
1.6687513972135 |
L(r)(E,1)/r! |
Ω |
0.13906264826305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110880cy1 36960bb1 |
Quadratic twists by: -4 -3 |