Atkin-Lehner |
2- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7504p |
Isogeny class |
Conductor |
7504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
27043223044096 = 218 · 73 · 673 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 6 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69424,7059392] |
[a1,a2,a3,a4,a6] |
j |
9034391742442417/6602349376 |
j-invariant |
L |
2.6455702842391 |
L(r)(E,1)/r! |
Ω |
0.66139257105978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
938d2 30016bn2 67536bn2 52528bb2 |
Quadratic twists by: -4 8 -3 -7 |