Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232v |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-628604928 = -1 · 214 · 33 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195,-1598] |
[a1,a2,a3,a4,a6] |
Generators |
[23:78:1] |
Generators of the group modulo torsion |
j |
-7414875/5684 |
j-invariant |
L |
5.4895379520345 |
L(r)(E,1)/r! |
Ω |
0.61829606606132 |
Real period |
R |
2.2196235158846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3654b1 116928dd1 29232x1 |
Quadratic twists by: -4 8 -3 |