Atkin-Lehner |
3+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725d |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-103023984375 = -1 · 33 · 57 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -2 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,895,11272] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-170:1] |
Generators of the group modulo torsion |
j |
188132517/244205 |
j-invariant |
L |
2.5655340459904 |
L(r)(E,1)/r! |
Ω |
0.71379455840674 |
Real period |
R |
0.89855477875755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49725c1 9945c1 |
Quadratic twists by: -3 5 |