Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
60300l |
Isogeny class |
Conductor |
60300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-427278564000000 = -1 · 28 · 313 · 56 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18825,-27250] |
[a1,a2,a3,a4,a6] |
j |
253012016/146529 |
j-invariant |
L |
3.7849425147335 |
L(r)(E,1)/r! |
Ω |
0.31541187622526 |
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 |
20100b1 2412a1 |
Quadratic twists by: -3 5 |