Atkin-Lehner |
2+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176x |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-250216448 = -1 · 217 · 23 · 83 |
Discriminant |
Eigenvalues |
2+ -1 0 0 -2 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-353,2785] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-16:1] |
Generators of the group modulo torsion |
j |
-37219250/1909 |
j-invariant |
L |
3.9533093640733 |
L(r)(E,1)/r! |
Ω |
1.7324869575346 |
Real period |
R |
0.57046740419776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176z1 15272d1 |
Quadratic twists by: -4 8 |