Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350br |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-823200 = -1 · 25 · 3 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8,41] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] |
Generators of the group modulo torsion |
j |
-6655/96 |
j-invariant |
L |
5.2191514253688 |
L(r)(E,1)/r! |
Ω |
2.388744558035 |
Real period |
R |
0.2184893067705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800ib1 22050bg1 7350bi1 7350cl1 |
Quadratic twists by: -4 -3 5 -7 |