Atkin-Lehner |
2- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104780m |
Isogeny class |
Conductor |
104780 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-12449305772800 = -1 · 28 · 52 · 137 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -3 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3605,-187903] |
[a1,a2,a3,a4,a6] |
Generators |
[7492:63375:64] |
Generators of the group modulo torsion |
j |
-4194304/10075 |
j-invariant |
L |
10.657699992911 |
L(r)(E,1)/r! |
Ω |
0.28740463784616 |
Real period |
R |
4.6353201171684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8060a1 |
Quadratic twists by: 13 |