Atkin-Lehner |
2- 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136bl |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-314746601472 = -1 · 218 · 39 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1620,9936] |
[a1,a2,a3,a4,a6] |
Generators |
[1317:47817:1] |
Generators of the group modulo torsion |
j |
91125/61 |
j-invariant |
L |
6.7439304442842 |
L(r)(E,1)/r! |
Ω |
0.60755651564792 |
Real period |
R |
5.5500437165847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35136f1 8784h1 35136bm1 |
Quadratic twists by: -4 8 -3 |