Atkin-Lehner |
2+ 5- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22610i |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1100800 |
Modular degree for the optimal curve |
Δ |
1.3206852636508E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2851934,-1768686060] |
[a1,a2,a3,a4,a6] |
j |
2565323916490564198779321/132068526365081600000 |
j-invariant |
L |
2.3309457909904 |
L(r)(E,1)/r! |
Ω |
0.11654728954952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113050cc1 |
Quadratic twists by: 5 |