Atkin-Lehner |
2- 3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25530y |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
6610758624000000 = 211 · 38 · 56 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-259026,-50698401] |
[a1,a2,a3,a4,a6] |
Generators |
[-287:467:1] |
Generators of the group modulo torsion |
j |
1922002259927873737249/6610758624000000 |
j-invariant |
L |
6.0981014113975 |
L(r)(E,1)/r! |
Ω |
0.21166718191496 |
Real period |
R |
1.3095389908019 |
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 |
76590w2 127650bd2 |
Quadratic twists by: -3 5 |