Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7280a |
Isogeny class |
Conductor |
7280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-910000 = -1 · 24 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22,23] |
[a1,a2,a3,a4,a6] |
Generators |
[21:172:27] |
Generators of the group modulo torsion |
j |
73598976/56875 |
j-invariant |
L |
3.5270763286639 |
L(r)(E,1)/r! |
Ω |
1.7956505961586 |
Real period |
R |
3.9284661907046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3640c1 29120ce1 65520bc1 36400l1 |
Quadratic twists by: -4 8 -3 5 |