Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050ba |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
157031250 = 2 · 3 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 -3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-138,-219] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:79:8] |
Generators of the group modulo torsion |
j |
744385/402 |
j-invariant |
L |
5.7229686678213 |
L(r)(E,1)/r! |
Ω |
1.4838743801317 |
Real period |
R |
3.8567743634157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400ds1 30150be1 10050m1 |
Quadratic twists by: -4 -3 5 |