Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2340c |
Isogeny class |
Conductor |
2340 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-280800000 = -1 · 28 · 33 · 55 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -1 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48,-796] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-150:1] |
Generators of the group modulo torsion |
j |
1769472/40625 |
j-invariant |
L |
3.2190683682727 |
L(r)(E,1)/r! |
Ω |
0.84165540036088 |
Real period |
R |
0.12748956270751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9360bc1 37440f1 2340a1 11700d1 |
Quadratic twists by: -4 8 -3 5 |