Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77400bk |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-333181620540000000 = -1 · 28 · 318 · 57 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202575,-44752750] |
[a1,a2,a3,a4,a6] |
j |
-315278049616/114259815 |
j-invariant |
L |
1.7681985380454 |
L(r)(E,1)/r! |
Ω |
0.11051240746798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800d1 15480b1 |
Quadratic twists by: -3 5 |