Atkin-Lehner |
2- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63800m |
Isogeny class |
Conductor |
63800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-4477484000000 = -1 · 28 · 56 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3433,126763] |
[a1,a2,a3,a4,a6] |
Generators |
[54:319:1] |
Generators of the group modulo torsion |
j |
-1118952448/1119371 |
j-invariant |
L |
9.1682864650213 |
L(r)(E,1)/r! |
Ω |
0.70575567978945 |
Real period |
R |
1.082561421637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127600d1 2552a1 |
Quadratic twists by: -4 5 |