Atkin-Lehner |
2+ 3+ 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
49416c |
Isogeny class |
Conductor |
49416 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-25018693215910512 = -1 · 24 · 3 · 295 · 714 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -5 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28292,-7818003] |
[a1,a2,a3,a4,a6] |
Generators |
[1318:47357:1] |
Generators of the group modulo torsion |
j |
-156534484744738048/1563668325994407 |
j-invariant |
L |
6.6948451384635 |
L(r)(E,1)/r! |
Ω |
0.16018057208417 |
Real period |
R |
1.0448903152427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98832e1 |
Quadratic twists by: -4 |