Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800by |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-13568000000 = -1 · 214 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 2 -7 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433,-6737] |
[a1,a2,a3,a4,a6] |
Generators |
[213:3100:1] |
Generators of the group modulo torsion |
j |
-35152/53 |
j-invariant |
L |
6.2022276364627 |
L(r)(E,1)/r! |
Ω |
0.49658572040413 |
Real period |
R |
3.1224355516549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800q1 21200g1 3392l1 |
Quadratic twists by: -4 8 5 |