Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504g |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2071673977731072 = 211 · 3 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-206224,-35910752] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:258:1] |
Generators of the group modulo torsion |
j |
267335955794/570999 |
j-invariant |
L |
3.6718978276663 |
L(r)(E,1)/r! |
Ω |
0.22406308394758 |
Real period |
R |
4.0969464528391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752x4 6864c4 |
Quadratic twists by: -4 -11 |