Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350bp |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-137654559168750000 = -1 · 24 · 33 · 58 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -6 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,40049,-17578702] |
[a1,a2,a3,a4,a6] |
Generators |
[1227:42736:1] |
Generators of the group modulo torsion |
j |
22295/432 |
j-invariant |
L |
4.2080500736169 |
L(r)(E,1)/r! |
Ω |
0.15934195346778 |
Real period |
R |
4.401487892377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76050fv1 25350bw1 25350di1 |
Quadratic twists by: -3 5 13 |