Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568co |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
23023183869504 = 26 · 32 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7154,28536] |
[a1,a2,a3,a4,a6] |
Generators |
[61429:15225210:1] |
Generators of the group modulo torsion |
j |
131096512/74529 |
j-invariant |
L |
6.5724239755756 |
L(r)(E,1)/r! |
Ω |
0.58095629651202 |
Real period |
R |
5.6565562812239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988929 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113568u1 8736j1 |
Quadratic twists by: -4 13 |