Atkin-Lehner |
3- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bz |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
286080 |
Modular degree for the optimal curve |
Δ |
-3736154296875 = -1 · 3 · 59 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 11- 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14708,-697756] |
[a1,a2,a3,a4,a6] |
Generators |
[4083:260812:1] |
Generators of the group modulo torsion |
j |
-180170657792/1912911 |
j-invariant |
L |
4.0162410181543 |
L(r)(E,1)/r! |
Ω |
0.21662265478132 |
Real period |
R |
4.6350657817355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75075bb1 |
Quadratic twists by: 5 |