Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320bl |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-1397692309281177600 = -1 · 238 · 38 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1965243,1061931242] |
[a1,a2,a3,a4,a6] |
Generators |
[631:8550:1] |
Generators of the group modulo torsion |
j |
-281115640967896441/468084326400 |
j-invariant |
L |
4.0698405537624 |
L(r)(E,1)/r! |
Ω |
0.27002131862698 |
Real period |
R |
3.7680733640375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2790x1 89280fk1 7440n1 111600eh1 |
Quadratic twists by: -4 8 -3 5 |