Atkin-Lehner |
2+ 3- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43758i |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-824827491774 = -1 · 2 · 310 · 11 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11- 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2025,-26573] |
[a1,a2,a3,a4,a6] |
Generators |
[83:800:1] |
Generators of the group modulo torsion |
j |
1259362112399/1131450606 |
j-invariant |
L |
4.2767735551772 |
L(r)(E,1)/r! |
Ω |
0.48988871661211 |
Real period |
R |
2.182522994587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14586i1 |
Quadratic twists by: -3 |