Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350br |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4325011200 = -1 · 28 · 38 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 2 1 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,400,-813] |
[a1,a2,a3,a4,a6] |
Generators |
[5:33:1] |
Generators of the group modulo torsion |
j |
389272415/237312 |
j-invariant |
L |
8.8507019839215 |
L(r)(E,1)/r! |
Ω |
0.80119741902266 |
Real period |
R |
0.69042767844861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450b1 46350bd1 |
Quadratic twists by: -3 5 |