Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960cg |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-8638056589639680 = -1 · 214 · 32 · 5 · 74 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20720,4623552] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:2314:1] |
Generators of the group modulo torsion |
j |
-240189477479281/2108900534580 |
j-invariant |
L |
6.9388496382697 |
L(r)(E,1)/r! |
Ω |
0.35293993277601 |
Real period |
R |
4.915035813025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000073 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870t4 |
Quadratic twists by: -4 |