Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bs |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
75202560 |
Modular degree for the optimal curve |
Δ |
-3.0549903876252E+26 |
Discriminant |
Eigenvalues |
2+ -2 4 7- -4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99343841,-923301592193] |
[a1,a2,a3,a4,a6] |
Generators |
[680570933713683590186854465766590320765060:69998366377204807058397203319295577584939703:36605463984985737793306112181952424000] |
Generators of the group modulo torsion |
j |
-3515753329334380009/9905620513718272 |
j-invariant |
L |
5.6746272744842 |
L(r)(E,1)/r! |
Ω |
0.02216113263335 |
Real period |
R |
64.015536929759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128576cy1 4018g1 18368h1 |
Quadratic twists by: -4 8 -7 |