Atkin-Lehner |
2+ 3+ 7+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
115038b |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
19064267501202 = 2 · 33 · 74 · 116 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6732,-31066] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:448:1] [-242:3159:8] |
Generators of the group modulo torsion |
j |
1249765573750875/706083981526 |
j-invariant |
L |
8.4428508628839 |
L(r)(E,1)/r! |
Ω |
0.56804103271618 |
Real period |
R |
2.4771833897687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999966531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115038u2 |
Quadratic twists by: -3 |