Atkin-Lehner |
5+ 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88825f |
Isogeny class |
Conductor |
88825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1256152046875 = -1 · 56 · 114 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 -2 5+ -4 11+ 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1462,49567] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:74:1] [-3:214:1] |
Generators of the group modulo torsion |
j |
22117051943/80393731 |
j-invariant |
L |
4.3197766096589 |
L(r)(E,1)/r! |
Ω |
0.61212544707875 |
Real period |
R |
1.7642529932745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3553b2 |
Quadratic twists by: 5 |