Atkin-Lehner |
2- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
69290r |
Isogeny class |
Conductor |
69290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1109722656250 = -1 · 2 · 59 · 132 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,809,49971] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:819:8] |
Generators of the group modulo torsion |
j |
346456744439/6566406250 |
j-invariant |
L |
7.0863863615069 |
L(r)(E,1)/r! |
Ω |
0.64966879818131 |
Real period |
R |
5.4538453911335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69290i1 |
Quadratic twists by: 13 |