Atkin-Lehner |
2+ 5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22610a |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
38095890843500 = 22 · 53 · 7 · 174 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20840,-1114044] |
[a1,a2,a3,a4,a6] |
Generators |
[555:12294:1] |
Generators of the group modulo torsion |
j |
1000987324758611289/38095890843500 |
j-invariant |
L |
2.8871054113187 |
L(r)(E,1)/r! |
Ω |
0.39828197824054 |
Real period |
R |
3.6244489696382 |
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 |
113050ce3 |
Quadratic twists by: 5 |