Atkin-Lehner |
3+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46893a |
Isogeny class |
Conductor |
46893 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
75825981 = 32 · 74 · 112 · 29 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ 11+ 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-261,1658] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-17:1] [26:227:8] |
Generators of the group modulo torsion |
j |
822083584/31581 |
j-invariant |
L |
6.5006756875474 |
L(r)(E,1)/r! |
Ω |
1.9203845264919 |
Real period |
R |
0.28209088674127 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46893j1 |
Quadratic twists by: -7 |