Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200bl |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-101056896000 = -1 · 210 · 37 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2235,-43450] |
[a1,a2,a3,a4,a6] |
Generators |
[1594:63612:1] |
Generators of the group modulo torsion |
j |
-13231796/1083 |
j-invariant |
L |
6.662815705369 |
L(r)(E,1)/r! |
Ω |
0.34555725597744 |
Real period |
R |
4.8203413400503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400db1 11400bd1 34200cx1 |
Quadratic twists by: -4 -3 5 |