Atkin-Lehner |
3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019v |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14902272 |
Modular degree for the optimal curve |
Δ |
1.8993413190739E+23 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52187457,143582723088] |
[a1,a2,a3,a4,a6] |
Generators |
[329618128929705185398590152369533235501:9726068806048684080110613778996317053387:102848346157937825675100369678373657] |
Generators of the group modulo torsion |
j |
3256581892696035537817/39349833794415417 |
j-invariant |
L |
6.271343007684 |
L(r)(E,1)/r! |
Ω |
0.10122460196679 |
Real period |
R |
61.954731446971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999633328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463i1 |
Quadratic twists by: 13 |