Atkin-Lehner |
2+ 7- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124558f |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
18641280 |
Modular degree for the optimal curve |
Δ |
-7.5985942590876E+22 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 1 -3 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33098350,74479699872] |
[a1,a2,a3,a4,a6] |
Generators |
[16566:2009757:1] |
Generators of the group modulo torsion |
j |
-99371161358402042719/1883002493206528 |
j-invariant |
L |
2.5518064209122 |
L(r)(E,1)/r! |
Ω |
0.10894706311474 |
Real period |
R |
2.3422444505535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995339235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124558h1 |
Quadratic twists by: -7 |