Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
119520i |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11617344000 = 29 · 37 · 53 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2988003,-1988015002] |
[a1,a2,a3,a4,a6] |
Generators |
[432009307347572304532:-48266062204238738137251:33937955115367744] |
Generators of the group modulo torsion |
j |
7904407296407904008/31125 |
j-invariant |
L |
7.76342499503 |
L(r)(E,1)/r! |
Ω |
0.11482971776244 |
Real period |
R |
33.804075914915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520g4 39840i4 |
Quadratic twists by: -4 -3 |