Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gi |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
63510480000000 = 210 · 38 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1093133,439539363] |
[a1,a2,a3,a4,a6] |
Generators |
[598:225:1] |
Generators of the group modulo torsion |
j |
9028656748079104/3969405 |
j-invariant |
L |
6.9113600375534 |
L(r)(E,1)/r! |
Ω |
0.50628956713248 |
Real period |
R |
0.42659382139096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800bd1 13200j1 10560bt1 |
Quadratic twists by: -4 8 5 |