Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296df |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
2204511848500297728 = 224 · 3 · 72 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-459312,-96343212] |
[a1,a2,a3,a4,a6] |
Generators |
[28390921230:1066871443456:16581375] |
Generators of the group modulo torsion |
j |
55611739513/11440128 |
j-invariant |
L |
10.632531996964 |
L(r)(E,1)/r! |
Ω |
0.18604179104528 |
Real period |
R |
14.287827349306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162r1 6384y1 |
Quadratic twists by: -4 -19 |