Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660n |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39744 |
Modular degree for the optimal curve |
Δ |
-550368000 = -1 · 28 · 33 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168,756] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:15:1] |
Generators of the group modulo torsion |
j |
1548288/1625 |
j-invariant |
L |
7.0724902731035 |
L(r)(E,1)/r! |
Ω |
1.0859517937682 |
Real period |
R |
1.0854518405604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114660g1 114660a1 |
Quadratic twists by: -3 -7 |