Atkin-Lehner |
5- 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
84175k |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
1308624533125 = 54 · 76 · 13 · 372 |
Discriminant |
Eigenvalues |
-2 -1 5- 7- -6 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3108,38718] |
[a1,a2,a3,a4,a6] |
Generators |
[87:647:1] [-214:2551:8] |
Generators of the group modulo torsion |
j |
5314059980800/2093799253 |
j-invariant |
L |
4.1086085230294 |
L(r)(E,1)/r! |
Ω |
0.78095541009696 |
Real period |
R |
0.14613896397013 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84175c1 |
Quadratic twists by: 5 |