Atkin-Lehner |
5+ 7+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
110075f |
Isogeny class |
Conductor |
110075 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
15785280 |
Modular degree for the optimal curve |
Δ |
-2.4996141740245E+21 |
Discriminant |
Eigenvalues |
2 3 5+ 7+ 4 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3643825,3599119531] |
[a1,a2,a3,a4,a6] |
Generators |
[212550:6714467:216] |
Generators of the group modulo torsion |
j |
-342433480186122153984/159975307137569147 |
j-invariant |
L |
25.705912945635 |
L(r)(E,1)/r! |
Ω |
0.13511697206926 |
Real period |
R |
4.5297458692896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4403b1 |
Quadratic twists by: 5 |