Atkin-Lehner |
2- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400by |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
38928384 |
Modular degree for the optimal curve |
Δ |
-1.3417861629686E+23 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -3 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1669300808,-26250701366288] |
[a1,a2,a3,a4,a6] |
Generators |
[50612:4348160:1] |
Generators of the group modulo torsion |
j |
-200949790549290210416116825/52413521990961152 |
j-invariant |
L |
2.8164630117008 |
L(r)(E,1)/r! |
Ω |
0.011809619396883 |
Real period |
R |
4.9685185652335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999185386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15050n1 120400bt1 |
Quadratic twists by: -4 5 |