Atkin-Lehner |
2+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
73304f |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
75927776691644416 = 211 · 79 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127939,11596830] |
[a1,a2,a3,a4,a6] |
j |
2802336318/918731 |
j-invariant |
L |
1.2701530539025 |
L(r)(E,1)/r! |
Ω |
0.31753826487098 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73304l2 |
Quadratic twists by: -7 |