Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11270d |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-907235000 = -1 · 23 · 54 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,215,741] |
[a1,a2,a3,a4,a6] |
Generators |
[3:36:1] |
Generators of the group modulo torsion |
j |
3196010817/2645000 |
j-invariant |
L |
2.6166193512782 |
L(r)(E,1)/r! |
Ω |
1.0181565987318 |
Real period |
R |
1.2849788306324 |
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 |
90160br2 101430ev2 56350bf2 11270h2 |
Quadratic twists by: -4 -3 5 -7 |