Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34656o |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-296565190078464 = -1 · 212 · 34 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 3 0 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6739,802971] |
[a1,a2,a3,a4,a6] |
Generators |
[253:4332:1] |
Generators of the group modulo torsion |
j |
175616/1539 |
j-invariant |
L |
6.3001183727189 |
L(r)(E,1)/r! |
Ω |
0.4000680130242 |
Real period |
R |
0.98422614524568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34656f1 69312cn1 103968bx1 1824g1 |
Quadratic twists by: -4 8 -3 -19 |