Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
26950di |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-120311858054080000 = -1 · 29 · 54 · 710 · 113 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-54538,-17416169] |
[a1,a2,a3,a4,a6] |
Generators |
[601:12635:1] |
Generators of the group modulo torsion |
j |
-243979633825/1636214272 |
j-invariant |
L |
11.876701503557 |
L(r)(E,1)/r! |
Ω |
0.13892806188926 |
Real period |
R |
1.5831136902195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26950ba1 3850bb1 |
Quadratic twists by: 5 -7 |