Atkin-Lehner |
3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725m |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
97200 |
Modular degree for the optimal curve |
Δ |
-5110546875 = -1 · 3 · 58 · 72 · 89 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 6 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7208,-233182] |
[a1,a2,a3,a4,a6] |
Generators |
[118:738:1] |
Generators of the group modulo torsion |
j |
-106039644160/13083 |
j-invariant |
L |
2.1466880728747 |
L(r)(E,1)/r! |
Ω |
0.25906433531584 |
Real period |
R |
4.1431563133791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46725u1 |
Quadratic twists by: 5 |