Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2820a |
Isogeny class |
Conductor |
2820 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-112800000 = -1 · 28 · 3 · 55 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 4 -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-220,1432] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:50:1] |
Generators of the group modulo torsion |
j |
-4620876496/440625 |
j-invariant |
L |
3.1242137044861 |
L(r)(E,1)/r! |
Ω |
1.8291377094636 |
Real period |
R |
0.11386836133485 |
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 |
11280bb1 45120v1 8460g1 14100i1 |
Quadratic twists by: -4 8 -3 5 |