Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080bl |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
290001826713600 = 212 · 312 · 52 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-709561,-229817735] |
[a1,a2,a3,a4,a6] |
Generators |
[17729369034:1934445617263:1481544] |
Generators of the group modulo torsion |
j |
9645696383080717504/70801227225 |
j-invariant |
L |
5.5128368885744 |
L(r)(E,1)/r! |
Ω |
0.16449483297287 |
Real period |
R |
16.756869470692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983946 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70080ce2 35040q1 |
Quadratic twists by: -4 8 |