Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680bl |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-52336990732270320 = -1 · 24 · 313 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -5 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149220,24816537] |
[a1,a2,a3,a4,a6] |
Generators |
[992:29189:1] |
Generators of the group modulo torsion |
j |
-951468070144/135517455 |
j-invariant |
L |
5.187324160173 |
L(r)(E,1)/r! |
Ω |
0.3434558849812 |
Real period |
R |
3.7758300170457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360br1 104040q1 2040n1 |
Quadratic twists by: -4 -3 17 |