Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208cf |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-75729654962454528 = -1 · 224 · 33 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104288,18494580] |
[a1,a2,a3,a4,a6] |
j |
-260305116625/157151232 |
j-invariant |
L |
3.826322781121 |
L(r)(E,1)/r! |
Ω |
0.31886023136059 |
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 |
8526m1 9744h1 |
Quadratic twists by: -4 -7 |