Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504q |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-9.6149755776713E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 11- 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,331863,466108707] |
[a1,a2,a3,a4,a6] |
Generators |
[3353769983947136974:180840262342297782003:6493778947969496] |
Generators of the group modulo torsion |
j |
608740352/14480427 |
j-invariant |
L |
7.8757148530378 |
L(r)(E,1)/r! |
Ω |
0.14231476929051 |
Real period |
R |
27.670054528778 |
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 |
37752q1 75504w1 |
Quadratic twists by: -4 -11 |