Atkin-Lehner |
2- 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274bi |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-36818729472 = -1 · 29 · 3 · 7 · 174 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -1 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,392,8768] |
[a1,a2,a3,a4,a6] |
Generators |
[4:100:1] |
Generators of the group modulo torsion |
j |
6660589493375/36818729472 |
j-invariant |
L |
9.7947245608434 |
L(r)(E,1)/r! |
Ω |
0.83441509372941 |
Real period |
R |
0.32606754634508 |
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 |
87822b1 |
Quadratic twists by: -3 |