Atkin-Lehner |
2+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550h |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-15382200625000 = -1 · 23 · 57 · 114 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11- 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2750,181500] |
[a1,a2,a3,a4,a6] |
Generators |
[51:651:1] |
Generators of the group modulo torsion |
j |
147114332639/984460840 |
j-invariant |
L |
5.8249378440967 |
L(r)(E,1)/r! |
Ω |
0.50780999894075 |
Real period |
R |
2.8676758316334 |
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 |
4510k2 |
Quadratic twists by: 5 |