Atkin-Lehner |
2+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39688c |
Isogeny class |
Conductor |
39688 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
48576 |
Modular degree for the optimal curve |
Δ |
-17999286519808 = -1 · 211 · 118 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11- 1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1331,204974] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3509:8] |
Generators of the group modulo torsion |
j |
-594/41 |
j-invariant |
L |
4.6915271103713 |
L(r)(E,1)/r! |
Ω |
0.56971027251026 |
Real period |
R |
2.7449783610764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79376i1 39688g1 |
Quadratic twists by: -4 -11 |