Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29406b |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-7558782894 = -1 · 2 · 33 · 136 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 -6 13+ -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-848,-10746] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1044:1] |
Generators of the group modulo torsion |
j |
-13997521/1566 |
j-invariant |
L |
2.0002235733427 |
L(r)(E,1)/r! |
Ω |
0.43951691450192 |
Real period |
R |
2.2754796315512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218cd1 174c1 |
Quadratic twists by: -3 13 |