Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
26950x |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18463036252718750 = 2 · 56 · 79 · 114 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-69850,-2813250] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:2145:1] |
Generators of the group modulo torsion |
j |
59776471/29282 |
j-invariant |
L |
5.6565015234665 |
L(r)(E,1)/r! |
Ω |
0.30863468647238 |
Real period |
R |
2.2909372193867 |
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 |
1078m2 26950bb2 |
Quadratic twists by: 5 -7 |