Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550be |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-44965447800 = -1 · 23 · 3 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3210,69420] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:270:1] |
Generators of the group modulo torsion |
j |
-1244290945/15288 |
j-invariant |
L |
4.606407179867 |
L(r)(E,1)/r! |
Ω |
1.1414425957468 |
Real period |
R |
2.0178006335146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999874742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550kn1 13650w1 |
Quadratic twists by: 5 -7 |