Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280bd |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
3.1200546816E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9889761,-11943992961] |
[a1,a2,a3,a4,a6] |
Generators |
[-1869:3840:1] |
Generators of the group modulo torsion |
j |
408076159454905367161/1190206406250000 |
j-invariant |
L |
5.6884423636569 |
L(r)(E,1)/r! |
Ω |
0.085148939462631 |
Real period |
R |
3.0366269223782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280by1 1290b1 123840da1 |
Quadratic twists by: -4 8 -3 |