Atkin-Lehner |
3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775bg |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2939740625390625 = 312 · 58 · 72 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76505,7734872] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:4030:1] |
Generators of the group modulo torsion |
j |
4347507044161/258084225 |
j-invariant |
L |
2.6570015234062 |
L(r)(E,1)/r! |
Ω |
0.44416643593399 |
Real period |
R |
1.4954988200645 |
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 |
8925q2 5355g2 |
Quadratic twists by: -3 5 |