Atkin-Lehner |
2+ 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350s |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-246729965625000 = -1 · 23 · 33 · 58 · 113 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4992,-766584] |
[a1,a2,a3,a4,a6] |
j |
-1304585595/23393656 |
j-invariant |
L |
1.4325355780682 |
L(r)(E,1)/r! |
Ω |
0.23875592897932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
64350dd2 64350cz1 |
Quadratic twists by: -3 5 |