Atkin-Lehner |
2- 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120bj |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4478976 |
Modular degree for the optimal curve |
Δ |
-6.7229958837782E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1493639,-1031314760] |
[a1,a2,a3,a4,a6] |
Generators |
[341132357702281911890012:13713020881173003238751826:307681258380802112087] |
Generators of the group modulo torsion |
j |
23032462524641591115776/42018724273614046875 |
j-invariant |
L |
5.2749011030405 |
L(r)(E,1)/r! |
Ω |
0.084551038991724 |
Real period |
R |
31.193591368494 |
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 |
24780l1 |
Quadratic twists by: -4 |