Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600ce |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-11575379574000 = -1 · 24 · 33 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 0 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-175248,-28296567] |
[a1,a2,a3,a4,a6] |
j |
-1388397824/27 |
j-invariant |
L |
1.400028312013 |
L(r)(E,1)/r! |
Ω |
0.11666902760318 |
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 |
72600df1 72600en1 |
Quadratic twists by: 5 -11 |