Atkin-Lehner |
2- 3- 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270bi |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
985600 |
Modular degree for the optimal curve |
Δ |
198829792800 = 25 · 311 · 52 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1082273,433634897] |
[a1,a2,a3,a4,a6] |
Generators |
[603:-392:1] |
Generators of the group modulo torsion |
j |
192311953603717327561/272743200 |
j-invariant |
L |
11.314225230989 |
L(r)(E,1)/r! |
Ω |
0.64269585020977 |
Real period |
R |
0.44010807193666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999751542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42090j1 |
Quadratic twists by: -3 |