Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930f |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
-145947432960 = -1 · 211 · 37 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 7 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,192,18432] |
[a1,a2,a3,a4,a6] |
j |
2263571297/425502720 |
j-invariant |
L |
1.5915647932056 |
L(r)(E,1)/r! |
Ω |
0.79578239660292 |
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 |
83790fg1 27930bw1 |
Quadratic twists by: -3 -7 |