Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540u |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
3364033152690000 = 24 · 35 · 54 · 77 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17363705,27854923650] |
[a1,a2,a3,a4,a6] |
Generators |
[2365:3485:1] |
Generators of the group modulo torsion |
j |
307569106352685236224/1787113125 |
j-invariant |
L |
6.7593236331794 |
L(r)(E,1)/r! |
Ω |
0.30452882905772 |
Real period |
R |
1.8496671477963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220j1 |
Quadratic twists by: -7 |