Atkin-Lehner |
7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41209a |
Isogeny class |
Conductor |
41209 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
493920 |
Modular degree for the optimal curve |
Δ |
99442104195999509 = 78 · 297 |
Discriminant |
Eigenvalues |
0 2 -3 7+ -6 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-384617,90676207] |
[a1,a2,a3,a4,a6] |
Generators |
[8535:20591:27] |
Generators of the group modulo torsion |
j |
1835008/29 |
j-invariant |
L |
3.7596164368555 |
L(r)(E,1)/r! |
Ω |
0.33727231697853 |
Real period |
R |
1.8578540482979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41209c1 1421a1 |
Quadratic twists by: -7 29 |