Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425cd |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-2.4184538514404E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ -4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,667217,-109222781] |
[a1,a2,a3,a4,a6] |
Generators |
[443:16537:1] |
Generators of the group modulo torsion |
j |
17869652393984/13156171875 |
j-invariant |
L |
5.100716795708 |
L(r)(E,1)/r! |
Ω |
0.11939919355826 |
Real period |
R |
1.525709274583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275dy1 8085d1 5775h1 |
Quadratic twists by: -3 5 -7 |