Atkin-Lehner |
3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75645q |
Isogeny class |
Conductor |
75645 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
3549396641481225 = 36 · 52 · 417 |
Discriminant |
Eigenvalues |
1 3- 5- -2 6 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-318024,69050043] |
[a1,a2,a3,a4,a6] |
Generators |
[975754:8095463:2197] |
Generators of the group modulo torsion |
j |
1027243729/1025 |
j-invariant |
L |
8.8537852806927 |
L(r)(E,1)/r! |
Ω |
0.44212287701704 |
Real period |
R |
10.012810624511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8405a1 1845f1 |
Quadratic twists by: -3 41 |