Atkin-Lehner |
2- 3- 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266bs |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
Δ |
35073824895664128 = 217 · 36 · 74 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6287864,6070364795] |
[a1,a2,a3,a4,a6] |
Generators |
[1165:17449:1] |
Generators of the group modulo torsion |
j |
37714255457181285391417/48112242655232 |
j-invariant |
L |
10.559522443746 |
L(r)(E,1)/r! |
Ω |
0.3107555816441 |
Real period |
R |
0.49970814341923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474b2 |
Quadratic twists by: -3 |