Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664g |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
9303279552 = 26 · 32 · 75 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 4 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22440,1301346] |
[a1,a2,a3,a4,a6] |
Generators |
[75:186:1] |
Generators of the group modulo torsion |
j |
19526825684298304/145363743 |
j-invariant |
L |
3.4618758812766 |
L(r)(E,1)/r! |
Ω |
1.1619065219526 |
Real period |
R |
2.979478827141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664cc1 20832m2 124992bq1 |
Quadratic twists by: -4 8 -3 |