Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232bi |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-263953723686912 = -1 · 220 · 311 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15765,174746] |
[a1,a2,a3,a4,a6] |
j |
145116956375/88397568 |
j-invariant |
L |
1.3583231827994 |
L(r)(E,1)/r! |
Ω |
0.33958079569992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3654r1 116928el1 9744i1 |
Quadratic twists by: -4 8 -3 |