Atkin-Lehner |
2+ 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120p |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
-2080512000 = -1 · 211 · 33 · 53 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-376,3440] |
[a1,a2,a3,a4,a6] |
j |
-2878139378/1015875 |
j-invariant |
L |
4.1531114527773 |
L(r)(E,1)/r! |
Ω |
1.3843704842644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72240a1 108360by1 |
Quadratic twists by: -4 -3 |