Atkin-Lehner |
5+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
68425f |
Isogeny class |
Conductor |
68425 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
-6.1095766110383E+20 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,490933,-1181953784] |
[a1,a2,a3,a4,a6] |
Generators |
[10662:337669:8] |
Generators of the group modulo torsion |
j |
837471171646531071/39101290310644975 |
j-invariant |
L |
6.3066827844052 |
L(r)(E,1)/r! |
Ω |
0.077974307418846 |
Real period |
R |
2.2467097009497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13685a1 |
Quadratic twists by: 5 |