Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
60200o |
Isogeny class |
Conductor |
60200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-131687500000000 = -1 · 28 · 512 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -3 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79633,8693637] |
[a1,a2,a3,a4,a6] |
j |
-13962024825856/32921875 |
j-invariant |
L |
4.6887999830841 |
L(r)(E,1)/r! |
Ω |
0.58609999753549 |
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 |
120400a1 12040b1 |
Quadratic twists by: -4 5 |