Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540r |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-26580015033600 = -1 · 28 · 3 · 52 · 77 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2140,244392] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:490:1] |
Generators of the group modulo torsion |
j |
35969456/882525 |
j-invariant |
L |
5.1966889891022 |
L(r)(E,1)/r! |
Ω |
0.50124205619917 |
Real period |
R |
1.7279372427221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000173094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220h2 |
Quadratic twists by: -7 |