Atkin-Lehner |
2+ 3- 5- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
34410k |
Isogeny class |
Conductor |
34410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-2322675000000 = -1 · 26 · 34 · 58 · 31 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 -1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2533,-88432] |
[a1,a2,a3,a4,a6] |
Generators |
[139:-1570:1] |
Generators of the group modulo torsion |
j |
-1796316223281481/2322675000000 |
j-invariant |
L |
5.488606174627 |
L(r)(E,1)/r! |
Ω |
0.32098697748475 |
Real period |
R |
0.26717430143291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103230z1 |
Quadratic twists by: -3 |