Atkin-Lehner |
2- 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200ct |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
96472296000 = 26 · 34 · 53 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20098398,-34674194808] |
[a1,a2,a3,a4,a6] |
j |
112232354272851345684416/12059037 |
j-invariant |
L |
0.42781926595077 |
L(r)(E,1)/r! |
Ω |
0.071303228149763 |
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 |
127200du1 127200bi1 |
Quadratic twists by: -4 5 |