Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
26166x |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
20800 |
Modular degree for the optimal curve |
Δ |
-60768755712 = -1 · 213 · 35 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,762,-8604] |
[a1,a2,a3,a4,a6] |
Generators |
[60:474:1] |
Generators of the group modulo torsion |
j |
142645765625/177168384 |
j-invariant |
L |
10.004630151813 |
L(r)(E,1)/r! |
Ω |
0.5939044402471 |
Real period |
R |
0.12958093635984 |
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 |
78498n1 26166p1 |
Quadratic twists by: -3 -7 |