Atkin-Lehner |
3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37191b |
Isogeny class |
Conductor |
37191 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-2148184032687 = -1 · 38 · 76 · 112 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1518,67374] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:249:1] |
Generators of the group modulo torsion |
j |
3288008303/18259263 |
j-invariant |
L |
3.5287762137346 |
L(r)(E,1)/r! |
Ω |
0.59468005012487 |
Real period |
R |
2.9669535853723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111573bd1 759b1 |
Quadratic twists by: -3 -7 |