Atkin-Lehner |
2+ 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
75166f |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-75077003456 = -1 · 26 · 76 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3 1 7- 0 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,236,-13168] |
[a1,a2,a3,a4,a6] |
Generators |
[624:1444:27] |
Generators of the group modulo torsion |
j |
12326391/638144 |
j-invariant |
L |
10.141902712596 |
L(r)(E,1)/r! |
Ω |
0.52141868938562 |
Real period |
R |
4.8626482500115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1534b1 |
Quadratic twists by: -7 |