Atkin-Lehner |
5+ 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
103075b |
Isogeny class |
Conductor |
103075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9221717935390625 = 57 · 7 · 19 · 316 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 0 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-73151,-6059427] |
[a1,a2,a3,a4,a6] |
Generators |
[2446:2173:8] |
Generators of the group modulo torsion |
j |
2770485962938849/590189947865 |
j-invariant |
L |
3.4749744288355 |
L(r)(E,1)/r! |
Ω |
0.29467713299815 |
Real period |
R |
5.8962403708942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20615c2 |
Quadratic twists by: 5 |