Atkin-Lehner |
3- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29799i |
Isogeny class |
Conductor |
29799 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-55942765263 = -1 · 36 · 73 · 112 · 432 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1355,22650] |
[a1,a2,a3,a4,a6] |
Generators |
[0:150:1] |
Generators of the group modulo torsion |
j |
-377149515625/76739047 |
j-invariant |
L |
3.3733472101501 |
L(r)(E,1)/r! |
Ω |
1.0697650812775 |
Real period |
R |
0.52555887723839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3311c1 |
Quadratic twists by: -3 |