Atkin-Lehner |
5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34385g |
Isogeny class |
Conductor |
34385 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1006848 |
Modular degree for the optimal curve |
Δ |
5915912933865145445 = 5 · 134 · 2310 |
Discriminant |
Eigenvalues |
0 0 5- -2 -1 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17350142,27816265360] |
[a1,a2,a3,a4,a6] |
Generators |
[18770:39465:8] |
Generators of the group modulo torsion |
j |
13942943023104/142805 |
j-invariant |
L |
3.2673015244814 |
L(r)(E,1)/r! |
Ω |
0.21658847355899 |
Real period |
R |
7.5426486709867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34385a1 |
Quadratic twists by: -23 |