Atkin-Lehner |
2+ 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992h |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-3050529391728 = -1 · 24 · 38 · 76 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-222808,-40406261] |
[a1,a2,a3,a4,a6] |
Generators |
[1831:75411:1] |
Generators of the group modulo torsion |
j |
-76453613990212000000/190658086983 |
j-invariant |
L |
3.7700646902787 |
L(r)(E,1)/r! |
Ω |
0.10987190044368 |
Real period |
R |
2.8594395448731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41496z1 |
Quadratic twists by: -4 |