Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400gb |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2205806100480000 = -1 · 220 · 311 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -1 0 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73875,8052050] |
[a1,a2,a3,a4,a6] |
j |
-23891790625/1181952 |
j-invariant |
L |
3.6580536882355 |
L(r)(E,1)/r! |
Ω |
0.45725671266056 |
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 |
8550r1 22800cm1 68400eu1 |
Quadratic twists by: -4 -3 5 |