Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120n |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
5616496032000 = 28 · 3 · 53 · 75 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33613980,-75000325728] |
[a1,a2,a3,a4,a6] |
Generators |
[72682:4862515:8] |
Generators of the group modulo torsion |
j |
16407543779463271436809936/21939437625 |
j-invariant |
L |
6.9656510886597 |
L(r)(E,1)/r! |
Ω |
0.062700292850405 |
Real period |
R |
7.4062929920579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560q2 |
Quadratic twists by: -4 |