Atkin-Lehner |
2- 3+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
33288i |
Isogeny class |
Conductor |
33288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
14341186225152 = 210 · 312 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6840,-116964] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:76:1] |
Generators of the group modulo torsion |
j |
34566511523044/14005064673 |
j-invariant |
L |
3.1190435641605 |
L(r)(E,1)/r! |
Ω |
0.54382429905792 |
Real period |
R |
2.8676941886963 |
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 |
66576l1 99864d1 |
Quadratic twists by: -4 -3 |