Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960cf |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
118755840000 = 212 · 3 · 54 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1400,11952] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:94:1] [-36:120:1] |
Generators of the group modulo torsion |
j |
74140932601/28993125 |
j-invariant |
L |
9.4681549273994 |
L(r)(E,1)/r! |
Ω |
0.95445668839177 |
Real period |
R |
1.2399927417736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4935j2 |
Quadratic twists by: -4 |