Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29016j |
Isogeny class |
Conductor |
29016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-3152179390464 = -1 · 211 · 36 · 133 · 312 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -4 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10443,-419546] |
[a1,a2,a3,a4,a6] |
Generators |
[41286:89032:343] |
Generators of the group modulo torsion |
j |
-84361067282/2111317 |
j-invariant |
L |
3.473537257499 |
L(r)(E,1)/r! |
Ω |
0.23578771975957 |
Real period |
R |
7.3658146001855 |
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 |
58032i1 3224a1 |
Quadratic twists by: -4 -3 |