Atkin-Lehner |
2- 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26040h |
Isogeny class |
Conductor |
26040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-768993750000000000 = -1 · 210 · 34 · 514 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1457496,679064796] |
[a1,a2,a3,a4,a6] |
j |
-334384523143023864676/750970458984375 |
j-invariant |
L |
1.1377147383526 |
L(r)(E,1)/r! |
Ω |
0.28442868458817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52080n1 78120h1 |
Quadratic twists by: -4 -3 |