Atkin-Lehner |
2+ 3- 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
52614b |
Isogeny class |
Conductor |
52614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-136239112512 = -1 · 26 · 39 · 372 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -3 1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1197,24165] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:195:1] [34:131:1] |
Generators of the group modulo torsion |
j |
-260305116625/186884928 |
j-invariant |
L |
6.7310195725924 |
L(r)(E,1)/r! |
Ω |
0.95465396981163 |
Real period |
R |
0.88134284586902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17538g1 |
Quadratic twists by: -3 |