Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490k |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5304541563533721600 = 216 · 34 · 52 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59055363,174652925517] |
[a1,a2,a3,a4,a6] |
j |
4718909406724749250561/1098974822400 |
j-invariant |
L |
0.769016229843 |
L(r)(E,1)/r! |
Ω |
0.19225405746337 |
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 |
106470fz2 2730v2 |
Quadratic twists by: -3 13 |