Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490cn |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1762712515008900 = 22 · 32 · 52 · 74 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83405,9013727] |
[a1,a2,a3,a4,a6] |
Generators |
[-1650:34283:8] |
Generators of the group modulo torsion |
j |
13293525831769/365192100 |
j-invariant |
L |
8.0883334824764 |
L(r)(E,1)/r! |
Ω |
0.46943570391704 |
Real period |
R |
4.3074767295002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106470bi2 2730f2 |
Quadratic twists by: -3 13 |