Atkin-Lehner |
2- 3+ 7+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038u |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13897851008376258 = 2 · 39 · 74 · 116 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60590,899371] |
[a1,a2,a3,a4,a6] |
Generators |
[72085406:3022711783:39304] |
Generators of the group modulo torsion |
j |
1249765573750875/706083981526 |
j-invariant |
L |
8.6617628080618 |
L(r)(E,1)/r! |
Ω |
0.34165813850351 |
Real period |
R |
12.676066755826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115038b2 |
Quadratic twists by: -3 |