Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7840l |
Isogeny class |
Conductor |
7840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-826441871360 = -1 · 212 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -1 -3 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3005,78037] |
[a1,a2,a3,a4,a6] |
Generators |
[47:196:1] |
Generators of the group modulo torsion |
j |
-6229504/1715 |
j-invariant |
L |
3.5895705843841 |
L(r)(E,1)/r! |
Ω |
0.84721571019994 |
Real period |
R |
1.0592256910395 |
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 |
7840x1 15680g1 70560cv1 39200bs1 |
Quadratic twists by: -4 8 -3 5 |