Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350ci |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
-5647366530000 = -1 · 24 · 32 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1540646338,-23276331036769] |
[a1,a2,a3,a4,a6] |
Generators |
[36040989149185749775034905:-13131651240752220184154747523:249951160897150839875] |
Generators of the group modulo torsion |
j |
-134057911417971280740025/1872 |
j-invariant |
L |
8.148377127447 |
L(r)(E,1)/r! |
Ω |
0.012048800679733 |
Real period |
R |
42.267573678273 |
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 |
76050cs1 25350bf2 1950b1 |
Quadratic twists by: -3 5 13 |