Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9765f |
Isogeny class |
Conductor |
9765 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
79814189903529375 = 318 · 54 · 73 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -2 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10285763,12699615156] |
[a1,a2,a3,a4,a6] |
Generators |
[1850:-813:1] |
Generators of the group modulo torsion |
j |
165084266363666392852201/109484485464375 |
j-invariant |
L |
2.3515643745727 |
L(r)(E,1)/r! |
Ω |
0.28355742161063 |
Real period |
R |
2.0732699934423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3255b2 48825bi2 68355y2 |
Quadratic twists by: -3 5 -7 |