Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400bt |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
194641920 |
Modular degree for the optimal curve |
Δ |
-2.0965408796384E+27 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41732520208,-3281421135826412] |
[a1,a2,a3,a4,a6] |
j |
-200949790549290210416116825/52413521990961152 |
j-invariant |
L |
2.2815743086297 |
L(r)(E,1)/r! |
Ω |
0.0052814223519659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15050o1 120400by1 |
Quadratic twists by: -4 5 |