Atkin-Lehner |
2- 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420d |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
1110576641000400 = 24 · 39 · 52 · 7 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202068,-34925067] |
[a1,a2,a3,a4,a6] |
j |
2897377384808448/3526446175 |
j-invariant |
L |
3.6031048134782 |
L(r)(E,1)/r! |
Ω |
0.22519404847828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84420h1 |
Quadratic twists by: -3 |