Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930s |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
117089280 = 210 · 33 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-233,1321] |
[a1,a2,a3,a4,a6] |
Generators |
[1:32:1] |
Generators of the group modulo torsion |
j |
51603494067/4336640 |
j-invariant |
L |
5.7096469089453 |
L(r)(E,1)/r! |
Ω |
1.8225079637617 |
Real period |
R |
0.31328515553701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440ca1 6930c1 34650f1 48510ch1 |
Quadratic twists by: -4 -3 5 -7 |