Atkin-Lehner |
3- 7+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
49203c |
Isogeny class |
Conductor |
49203 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47360 |
Modular degree for the optimal curve |
Δ |
-9569048643 = -1 · 36 · 75 · 11 · 71 |
Discriminant |
Eigenvalues |
0 3- -4 7+ 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-342,-5299] |
[a1,a2,a3,a4,a6] |
Generators |
[57:400:1] |
Generators of the group modulo torsion |
j |
-6068404224/13126267 |
j-invariant |
L |
3.2721580736924 |
L(r)(E,1)/r! |
Ω |
0.52001703765106 |
Real period |
R |
3.1462027556348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5467a1 |
Quadratic twists by: -3 |