Atkin-Lehner |
2+ 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446f |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8870400 |
Modular degree for the optimal curve |
Δ |
-1.2585357744522E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3477114,17248356756] |
[a1,a2,a3,a4,a6] |
j |
-39517772438920743577/1069737757611393024 |
j-invariant |
L |
0.69862137095375 |
L(r)(E,1)/r! |
Ω |
0.087327671224994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778h1 |
Quadratic twists by: -7 |