Atkin-Lehner |
2- 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
26040m |
Isogeny class |
Conductor |
26040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
-5388218628030000 = -1 · 24 · 35 · 54 · 74 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34929,-2493504] |
[a1,a2,a3,a4,a6] |
j |
294543709680551936/336763664251875 |
j-invariant |
L |
0.9245032198729 |
L(r)(E,1)/r! |
Ω |
0.23112580496815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52080h1 78120u1 |
Quadratic twists by: -4 -3 |