Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655c |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
1905469469837505 = 33 · 5 · 113 · 139 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11- 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-911618,-334782808] |
[a1,a2,a3,a4,a6] |
Generators |
[1660:51363:1] |
Generators of the group modulo torsion |
j |
292622695119/6655 |
j-invariant |
L |
3.5696569269358 |
L(r)(E,1)/r! |
Ω |
0.15450657361212 |
Real period |
R |
7.7011975198174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83655f1 83655g1 |
Quadratic twists by: -3 13 |