Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
28880n |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-16521610126284800 = -1 · 211 · 52 · 199 |
Discriminant |
Eigenvalues |
2+ 3 5- 1 -4 -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24187,6351434] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:68590:27] |
Generators of the group modulo torsion |
j |
-16241202/171475 |
j-invariant |
L |
10.238023156985 |
L(r)(E,1)/r! |
Ω |
0.33300248147561 |
Real period |
R |
1.9215365737701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14440n1 115520ce1 1520e1 |
Quadratic twists by: -4 8 -19 |