Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26026p |
Isogeny class |
Conductor |
26026 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-5406998524928 = -1 · 210 · 75 · 11 · 134 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 11+ 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17946,936537] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-129:1] |
Generators of the group modulo torsion |
j |
-22378481056737/189314048 |
j-invariant |
L |
4.2048485015971 |
L(r)(E,1)/r! |
Ω |
0.76682011997093 |
Real period |
R |
0.036556582976778 |
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 |
26026c1 |
Quadratic twists by: 13 |