Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
83104f |
Isogeny class |
Conductor |
83104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-25540186112 = -1 · 212 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3 2 7- -6 3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3724,-87808] |
[a1,a2,a3,a4,a6] |
Generators |
[2082:7804:27] |
Generators of the group modulo torsion |
j |
-11852352/53 |
j-invariant |
L |
13.945242462017 |
L(r)(E,1)/r! |
Ω |
0.30549277791506 |
Real period |
R |
5.7060442435376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83104g1 1696d1 |
Quadratic twists by: -4 -7 |