Atkin-Lehner |
2- 3- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402bs |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-23948970008068224 = -1 · 27 · 36 · 73 · 176 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14576,7480019] |
[a1,a2,a3,a4,a6] |
Generators |
[1681:67941:1] |
Generators of the group modulo torsion |
j |
-469767891354553/32851810710656 |
j-invariant |
L |
12.577354604805 |
L(r)(E,1)/r! |
Ω |
0.31278602243378 |
Real period |
R |
0.95739835682027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378j1 |
Quadratic twists by: -3 |