Atkin-Lehner |
2- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125426p |
Isogeny class |
Conductor |
125426 |
Conductor |
∏ cp |
184 |
Product of Tamagawa factors cp |
deg |
71221248 |
Modular degree for the optimal curve |
Δ |
-7.4563956674216E+26 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 2 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-805459479,-8896481380819] |
[a1,a2,a3,a4,a6] |
Generators |
[10095389489308929:-1745436285802281026:203608800387] |
Generators of the group modulo torsion |
j |
-2394204674724255511761553/30891245375296897024 |
j-invariant |
L |
13.705452127273 |
L(r)(E,1)/r! |
Ω |
0.014158757325085 |
Real period |
R |
21.043132840797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378r1 |
Quadratic twists by: 17 |