Atkin-Lehner |
2+ 3+ 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310d |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
132198999615000 = 23 · 39 · 54 · 192 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4286859,-3415235635] |
[a1,a2,a3,a4,a6] |
Generators |
[1322573:65648001:343] |
Generators of the group modulo torsion |
j |
442639406049112778787/6716405000 |
j-invariant |
L |
7.348113832612 |
L(r)(E,1)/r! |
Ω |
0.10492156273996 |
Real period |
R |
8.7542941436334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310bi2 |
Quadratic twists by: -3 |