Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200be |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-1830000 = -1 · 24 · 3 · 54 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -5 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,63] |
[a1,a2,a3,a4,a6] |
j |
-6400/183 |
j-invariant |
L |
2.2073828565573 |
L(r)(E,1)/r! |
Ω |
2.2073828789584 |
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 |
36600y1 73200m1 |
Quadratic twists by: -4 5 |