Atkin-Lehner |
2+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27280i |
Isogeny class |
Conductor |
27280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2182400 = 28 · 52 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1820,-30500] |
[a1,a2,a3,a4,a6] |
Generators |
[695:18300:1] |
Generators of the group modulo torsion |
j |
2605772594896/8525 |
j-invariant |
L |
4.2206096577616 |
L(r)(E,1)/r! |
Ω |
0.73090664366448 |
Real period |
R |
5.7744852839223 |
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 |
13640h2 109120v2 |
Quadratic twists by: -4 8 |