Atkin-Lehner |
2- 5+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75050j |
Isogeny class |
Conductor |
75050 |
Conductor |
∏ cp |
62 |
Product of Tamagawa factors cp |
deg |
3496800 |
Modular degree for the optimal curve |
Δ |
-5.9808677888E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5745638,-5432381469] |
[a1,a2,a3,a4,a6] |
Generators |
[13249:1491487:1] |
Generators of the group modulo torsion |
j |
-2148020658032115625/61244086157312 |
j-invariant |
L |
9.657543211998 |
L(r)(E,1)/r! |
Ω |
0.048674903263457 |
Real period |
R |
3.2001465970726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75050g1 |
Quadratic twists by: 5 |