Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200cj |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
212629504000000000 = 220 · 59 · 473 |
Discriminant |
Eigenvalues |
2- -1 5+ 5 -3 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281633,53171137] |
[a1,a2,a3,a4,a6] |
j |
603136942849/51911500 |
j-invariant |
L |
2.4654549765479 |
L(r)(E,1)/r! |
Ω |
0.30818186756821 |
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 |
75200u2 18800t2 15040bk2 |
Quadratic twists by: -4 8 5 |