Atkin-Lehner |
29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48749c |
Isogeny class |
Conductor |
48749 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4200 |
Modular degree for the optimal curve |
Δ |
48749 = 29 · 412 |
Discriminant |
Eigenvalues |
1 -2 -3 3 -4 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15,17] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] [1:1:1] |
Generators of the group modulo torsion |
j |
201433/29 |
j-invariant |
L |
6.6580294756136 |
L(r)(E,1)/r! |
Ω |
3.429688741125 |
Real period |
R |
1.9412926297874 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48749a1 |
Quadratic twists by: 41 |