Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190s |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
139345920 |
Modular degree for the optimal curve |
Δ |
-3.5946454129966E+30 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10247284907,-409557128503299] |
[a1,a2,a3,a4,a6] |
Generators |
[16419863967:1953204352324:132651] |
Generators of the group modulo torsion |
j |
-67172890180943415009710808721/2029083623424000000000000 |
j-invariant |
L |
2.6793303959707 |
L(r)(E,1)/r! |
Ω |
0.007489362768896 |
Real period |
R |
14.906310449007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290u1 |
Quadratic twists by: -11 |