Atkin-Lehner |
2+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10472c |
Isogeny class |
Conductor |
10472 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-95745579776 = -1 · 28 · 76 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ -3 1 7- 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,428,-14492] |
[a1,a2,a3,a4,a6] |
Generators |
[38:238:1] |
Generators of the group modulo torsion |
j |
33869988864/374006171 |
j-invariant |
L |
2.9960586865195 |
L(r)(E,1)/r! |
Ω |
0.52567878088179 |
Real period |
R |
0.11873769985121 |
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 |
20944a1 83776k1 94248ba1 73304w1 |
Quadratic twists by: -4 8 -3 -7 |