Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488cu |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-27297933208584192 = -1 · 226 · 34 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288353,60030207] |
[a1,a2,a3,a4,a6] |
Generators |
[226:2541:1] |
Generators of the group modulo torsion |
j |
-29489309167375/303595776 |
j-invariant |
L |
8.8210324593302 |
L(r)(E,1)/r! |
Ω |
0.37657091983817 |
Real period |
R |
1.4640390411699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ga1 3234g1 103488l1 |
Quadratic twists by: -4 8 -7 |