Atkin-Lehner |
2- 5+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22610o |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
1.4815774043177E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1554723,-722416669] |
[a1,a2,a3,a4,a6] |
Generators |
[1835:50082:1] |
Generators of the group modulo torsion |
j |
415606681098079607120769/14815774043176960000 |
j-invariant |
L |
6.4907989897847 |
L(r)(E,1)/r! |
Ω |
0.13549926553952 |
Real period |
R |
2.6612686234212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113050p2 |
Quadratic twists by: 5 |