Atkin-Lehner |
2- 3- 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258bo |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
304 |
Product of Tamagawa factors cp |
deg |
1070080 |
Modular degree for the optimal curve |
Δ |
1.413483137938E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1931243,1016886321] |
[a1,a2,a3,a4,a6] |
Generators |
[24330:66683:27] |
Generators of the group modulo torsion |
j |
796589346774759734904625/14134831379380174848 |
j-invariant |
L |
10.50471015974 |
L(r)(E,1)/r! |
Ω |
0.22294269465137 |
Real period |
R |
0.61997936617317 |
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 |
81774v1 |
Quadratic twists by: -3 |