Atkin-Lehner |
2+ 5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22610a |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2208007812500 = 22 · 512 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48560,4130300] |
[a1,a2,a3,a4,a6] |
Generators |
[131:-1:1] |
Generators of the group modulo torsion |
j |
12663821401346385369/2208007812500 |
j-invariant |
L |
2.8871054113187 |
L(r)(E,1)/r! |
Ω |
0.79656395648107 |
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 |
113050ce4 |
Quadratic twists by: 5 |