Atkin-Lehner |
3+ 11- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
25311b |
Isogeny class |
Conductor |
25311 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
278421 = 3 · 112 · 13 · 59 |
Discriminant |
Eigenvalues |
0 3+ -1 -2 11- 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21,35] |
[a1,a2,a3,a4,a6] |
Generators |
[5:5:1] |
Generators of the group modulo torsion |
j |
1073741824/278421 |
j-invariant |
L |
2.9364304615497 |
L(r)(E,1)/r! |
Ω |
2.8904545963538 |
Real period |
R |
0.50795305092388 |
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 |
75933a1 |
Quadratic twists by: -3 |