Atkin-Lehner |
2- 3- 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530bk |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
2040 |
Product of Tamagawa factors cp |
deg |
24675840 |
Modular degree for the optimal curve |
Δ |
2.2971093926272E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5266811620,-147119768708848] |
[a1,a2,a3,a4,a6] |
Generators |
[-5237720:2093164:125] |
Generators of the group modulo torsion |
j |
16157235955145051828417401942102081/2297109392627197846487040 |
j-invariant |
L |
10.749076975441 |
L(r)(E,1)/r! |
Ω |
0.01772199509897 |
Real period |
R |
1.1892916910747 |
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 |
76590r1 127650f1 |
Quadratic twists by: -3 5 |