Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200cc |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
481572000000 = 28 · 33 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1003308,386477388] |
[a1,a2,a3,a4,a6] |
Generators |
[582:168:1] [699:5214:1] |
Generators of the group modulo torsion |
j |
27923315228972368/120393 |
j-invariant |
L |
14.003059019263 |
L(r)(E,1)/r! |
Ω |
0.62829005620475 |
Real period |
R |
2.4763967395885 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600e1 4368b1 |
Quadratic twists by: -4 5 |