Atkin-Lehner |
2+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2528a |
Isogeny class |
Conductor |
2528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
323584 = 212 · 79 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 2 3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97,401] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] |
Generators of the group modulo torsion |
j |
24897088/79 |
j-invariant |
L |
2.2089526506551 |
L(r)(E,1)/r! |
Ω |
3.0627926671391 |
Real period |
R |
0.18030543451039 |
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 |
2528c1 5056e1 22752l1 63200m1 |
Quadratic twists by: -4 8 -3 5 |