Atkin-Lehner |
2+ 3- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530t |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-5871900 = -1 · 22 · 3 · 52 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,42,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[10:32:1] |
Generators of the group modulo torsion |
j |
8477185319/5871900 |
j-invariant |
L |
4.9783459549502 |
L(r)(E,1)/r! |
Ω |
1.3547139560725 |
Real period |
R |
1.8374159108034 |
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 |
76590br1 127650bw1 |
Quadratic twists by: -3 5 |