Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bs |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-48282609375 = -1 · 32 · 56 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,262,10467] |
[a1,a2,a3,a4,a6] |
Generators |
[7:109:1] |
Generators of the group modulo torsion |
j |
127263527/3090087 |
j-invariant |
L |
4.863785282818 |
L(r)(E,1)/r! |
Ω |
0.84792164273734 |
Real period |
R |
1.4340314710153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3003a1 |
Quadratic twists by: 5 |