Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9310n |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
-279416375000 = -1 · 23 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1471,32829] |
[a1,a2,a3,a4,a6] |
Generators |
[29:110:1] |
Generators of the group modulo torsion |
j |
-2992209121/2375000 |
j-invariant |
L |
5.0411793038882 |
L(r)(E,1)/r! |
Ω |
0.89618476166129 |
Real period |
R |
0.93752603993237 |
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 |
74480bo1 83790br1 46550h1 190c1 |
Quadratic twists by: -4 -3 5 -7 |