Atkin-Lehner |
3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
94815d |
Isogeny class |
Conductor |
94815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
4183083725625 = 33 · 54 · 78 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -6 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5228,108462] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:513:1] |
Generators of the group modulo torsion |
j |
4973940243/1316875 |
j-invariant |
L |
3.6395821195633 |
L(r)(E,1)/r! |
Ω |
0.72845631417609 |
Real period |
R |
2.4981471336481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94815h1 13545d1 |
Quadratic twists by: -3 -7 |