Atkin-Lehner |
2+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810g |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
842400 |
Modular degree for the optimal curve |
Δ |
9568499940720640 = 239 · 5 · 592 |
Discriminant |
Eigenvalues |
2+ 3 5- -2 2 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-877009,-315867427] |
[a1,a2,a3,a4,a6] |
Generators |
[5652297492489901560646629832029:-197993219948354952533617358346985:3168543658989595441380134301] |
Generators of the group modulo torsion |
j |
21430490829693039441/2748779069440 |
j-invariant |
L |
7.7952716007622 |
L(r)(E,1)/r! |
Ω |
0.15600979330931 |
Real period |
R |
49.966552967012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34810q1 |
Quadratic twists by: -59 |