Atkin-Lehner |
2+ 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120y |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
11634853501313280 = 28 · 37 · 5 · 73 · 594 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1254876,540621900] |
[a1,a2,a3,a4,a6] |
Generators |
[-825:31860:1] [-294:29736:1] |
Generators of the group modulo torsion |
j |
853663146466864483024/45448646489505 |
j-invariant |
L |
13.066751432943 |
L(r)(E,1)/r! |
Ω |
0.38022862008245 |
Real period |
R |
0.81822649047452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560a1 |
Quadratic twists by: -4 |