Atkin-Lehner |
2+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22550a |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3076440125000000 = 26 · 59 · 114 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11+ 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1069250,425112500] |
[a1,a2,a3,a4,a6] |
Generators |
[700:4150:1] |
Generators of the group modulo torsion |
j |
8652509753714779681/196892168000 |
j-invariant |
L |
6.0437010154985 |
L(r)(E,1)/r! |
Ω |
0.41583844281098 |
Real period |
R |
1.8167214695941 |
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 |
4510g2 |
Quadratic twists by: 5 |