Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bc |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
111899088258048 = 210 · 39 · 7 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139779,20108142] |
[a1,a2,a3,a4,a6] |
Generators |
[-389:3952:1] |
Generators of the group modulo torsion |
j |
14985051865164/5551819 |
j-invariant |
L |
7.6873614927912 |
L(r)(E,1)/r! |
Ω |
0.58192903783837 |
Real period |
R |
2.2016892369104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124488f1 |
Quadratic twists by: -3 |