Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400cz |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
348160 |
Modular degree for the optimal curve |
Δ |
-1579014000000000 = -1 · 210 · 37 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55875,5431250] |
[a1,a2,a3,a4,a6] |
j |
-13231796/1083 |
j-invariant |
L |
3.7261516947162 |
L(r)(E,1)/r! |
Ω |
0.46576896188493 |
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 |
34200cx1 22800s1 68400db1 |
Quadratic twists by: -4 -3 5 |