Atkin-Lehner |
2- 71- |
Signs for the Atkin-Lehner involutions |
Class |
10082i |
Isogeny class |
Conductor |
10082 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61344 |
Modular degree for the optimal curve |
Δ |
-41328225999728704 = -1 · 26 · 718 |
Discriminant |
Eigenvalues |
2- 0 -1 0 0 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-290803,-61074157] |
[a1,a2,a3,a4,a6] |
Generators |
[41039:8292398:1] |
Generators of the group modulo torsion |
j |
-4211649/64 |
j-invariant |
L |
5.9807220876109 |
L(r)(E,1)/r! |
Ω |
0.10270172514817 |
Real period |
R |
9.7056501549877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80656e1 90738i1 10082h1 |
Quadratic twists by: -4 -3 -71 |