Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218d |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-1.155604724785E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3112251,-2118836251] |
[a1,a2,a3,a4,a6] |
Generators |
[8556335461645:249578591191353:3449795831] |
Generators of the group modulo torsion |
j |
-35091039199419/121634816 |
j-invariant |
L |
4.5994278387827 |
L(r)(E,1)/r! |
Ω |
0.056821248690668 |
Real period |
R |
20.236390170901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88218bq1 522g1 |
Quadratic twists by: -3 13 |