Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
7300a |
Isogeny class |
Conductor |
7300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7560 |
Modular degree for the optimal curve |
Δ |
11406250000 = 24 · 510 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 6 -2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3958,97037] |
[a1,a2,a3,a4,a6] |
j |
43897600/73 |
j-invariant |
L |
1.274740529921 |
L(r)(E,1)/r! |
Ω |
1.274740529921 |
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 |
29200k1 116800d1 65700e1 7300f1 |
Quadratic twists by: -4 8 -3 5 |