Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025h |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19740672 |
Modular degree for the optimal curve |
Δ |
-2.421924312899E+26 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 1 -2 7 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,137418145,-419785126478] |
[a1,a2,a3,a4,a6] |
Generators |
[96752885859257156348:7321556598880503775210:29760162546344957] |
Generators of the group modulo torsion |
j |
462866157/390625 |
j-invariant |
L |
3.8674173869933 |
L(r)(E,1)/r! |
Ω |
0.030691729386952 |
Real period |
R |
31.502113633237 |
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 |
65025d1 13005d1 65025s1 |
Quadratic twists by: -3 5 17 |