Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400cp |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
6698715031250000 = 24 · 59 · 118 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137133,19099738] |
[a1,a2,a3,a4,a6] |
Generators |
[12794:499125:8] |
Generators of the group modulo torsion |
j |
643956736/15125 |
j-invariant |
L |
3.9708440477753 |
L(r)(E,1)/r! |
Ω |
0.42077485742618 |
Real period |
R |
2.3592450794945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998604 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12100g1 9680bc1 4400t1 |
Quadratic twists by: -4 5 -11 |