Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960ci |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7041638933360640 = 212 · 33 · 5 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25448480,49421445312] |
[a1,a2,a3,a4,a6] |
Generators |
[153208786:532777382:50653] |
Generators of the group modulo torsion |
j |
444989049991758116601121/1719150130215 |
j-invariant |
L |
7.0308092164725 |
L(r)(E,1)/r! |
Ω |
0.2811389902142 |
Real period |
R |
12.504151795526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970332 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4935i5 |
Quadratic twists by: -4 |