Atkin-Lehner |
2- 7- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
108878o |
Isogeny class |
Conductor |
108878 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
538272 |
Modular degree for the optimal curve |
Δ |
-11502307432 = -1 · 23 · 76 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11+ 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-286798,-59236493] |
[a1,a2,a3,a4,a6] |
j |
-22175014984908625/97768 |
j-invariant |
L |
5.570180092086 |
L(r)(E,1)/r! |
Ω |
0.1031514937442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2222a1 |
Quadratic twists by: -7 |