Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568h |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
1817088 = 29 · 3 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,168] |
[a1,a2,a3,a4,a6] |
Generators |
[26:25:8] |
Generators of the group modulo torsion |
j |
228488/21 |
j-invariant |
L |
7.8298699138053 |
L(r)(E,1)/r! |
Ω |
2.5727563405342 |
Real period |
R |
3.0433779509737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568br1 113568ce1 |
Quadratic twists by: -4 13 |