Atkin-Lehner |
2- 3- 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258bp |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-15304395820683816 = -1 · 23 · 32 · 75 · 118 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,61323,1128969] |
[a1,a2,a3,a4,a6] |
Generators |
[24:1605:1] |
Generators of the group modulo torsion |
j |
25503127865684724527/15304395820683816 |
j-invariant |
L |
8.4815812050561 |
L(r)(E,1)/r! |
Ω |
0.24094704131594 |
Real period |
R |
0.14667090948585 |
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 |
81774w1 |
Quadratic twists by: -3 |