Atkin-Lehner |
2+ 3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482z |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
3.1710594101887E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4246856,-2002114474] |
[a1,a2,a3,a4,a6] |
Generators |
[2769:85051:1] |
Generators of the group modulo torsion |
j |
72000901035134331625/26953560252859968 |
j-invariant |
L |
5.7937994797837 |
L(r)(E,1)/r! |
Ω |
0.10850532444445 |
Real period |
R |
0.95350809230456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926c1 |
Quadratic twists by: -7 |