Atkin-Lehner |
2- 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120bj |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.3672187271726E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-277895476,1782282890476] |
[a1,a2,a3,a4,a6] |
Generators |
[31678035591164598:2004747323982968971:2159695158776] |
Generators of the group modulo torsion |
j |
9271034102581171557541305424/5340698153017787109375 |
j-invariant |
L |
5.2749011030405 |
L(r)(E,1)/r! |
Ω |
0.084551038991724 |
Real period |
R |
20.795727578996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999675095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780l4 |
Quadratic twists by: -4 |