Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208x |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
304640 |
Modular degree for the optimal curve |
Δ |
-582393586747392 = -1 · 211 · 35 · 79 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 -5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102328,-12686668] |
[a1,a2,a3,a4,a6] |
j |
-1433834750/7047 |
j-invariant |
L |
2.6685350304471 |
L(r)(E,1)/r! |
Ω |
0.13342675146279 |
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 |
34104h1 68208k1 |
Quadratic twists by: -4 -7 |