Atkin-Lehner |
2- 3+ 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710w |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1465344 |
Modular degree for the optimal curve |
Δ |
3.4908082580566E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1778695,159337145] |
[a1,a2,a3,a4,a6] |
Generators |
[18623:-2544312:1] |
Generators of the group modulo torsion |
j |
622340665749408002096881/349080825805664062500 |
j-invariant |
L |
7.3904741595409 |
L(r)(E,1)/r! |
Ω |
0.14726688816965 |
Real period |
R |
1.3940061573084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130k1 |
Quadratic twists by: -3 |