Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270bc |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
78848640 |
Modular degree for the optimal curve |
Δ |
-3.7364210523716E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -5 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,725737395,5464986335427] |
[a1,a2,a3,a4,a6] |
Generators |
[4734195:1165424028:125] |
Generators of the group modulo torsion |
j |
1907247257179943046551/1685778818809651200 |
j-invariant |
L |
9.0023588697673 |
L(r)(E,1)/r! |
Ω |
0.023783786752077 |
Real period |
R |
3.6395021470287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1590g1 |
Quadratic twists by: 53 |