Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975cg |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2914560 |
Modular degree for the optimal curve |
Δ |
-7.8920325003107E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 11+ 13+ -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,641237,-378924358] |
[a1,a2,a3,a4,a6] |
Generators |
[3131215991:-299313895:6967871] |
Generators of the group modulo torsion |
j |
31658125/85683 |
j-invariant |
L |
4.5111722088014 |
L(r)(E,1)/r! |
Ω |
0.09926894721369 |
Real period |
R |
11.360985347465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999977366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975c1 117975ci1 |
Quadratic twists by: 5 -11 |