Atkin-Lehner |
2- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
49490i |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-1385720 = -1 · 23 · 5 · 73 · 101 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 4 4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71,-267] |
[a1,a2,a3,a4,a6] |
Generators |
[13:28:1] |
Generators of the group modulo torsion |
j |
-115501303/4040 |
j-invariant |
L |
7.250186100097 |
L(r)(E,1)/r! |
Ω |
0.82059942445949 |
Real period |
R |
1.4725386272496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49490s1 |
Quadratic twists by: -7 |