Atkin-Lehner |
2+ 3- 7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
109746g |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4469760 |
Modular degree for the optimal curve |
Δ |
-21023676252214272 = -1 · 210 · 37 · 74 · 13 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 1 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6063120,5747874048] |
[a1,a2,a3,a4,a6] |
Generators |
[1344:4368:1] |
Generators of the group modulo torsion |
j |
-33813078710206015422721/28839062074368 |
j-invariant |
L |
7.4205929498259 |
L(r)(E,1)/r! |
Ω |
0.31976114026876 |
Real period |
R |
1.4504172106999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999613031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36582l1 |
Quadratic twists by: -3 |