Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568c |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
2836479275906762304 = 26 · 38 · 72 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1545054,735263424] |
[a1,a2,a3,a4,a6] |
Generators |
[-1353:18630:1] |
Generators of the group modulo torsion |
j |
1320428512222912/9182047329 |
j-invariant |
L |
2.7904101053287 |
L(r)(E,1)/r! |
Ω |
0.25594920571407 |
Real period |
R |
5.4511012629481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101389 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113568bp1 8736s1 |
Quadratic twists by: -4 13 |