Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488in |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
63609520128 = 214 · 3 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2417,-44913] |
[a1,a2,a3,a4,a6] |
Generators |
[18309:475840:27] |
Generators of the group modulo torsion |
j |
810448/33 |
j-invariant |
L |
10.063267569321 |
L(r)(E,1)/r! |
Ω |
0.68258210713971 |
Real period |
R |
7.371470378765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488r1 25872d1 2112w1 |
Quadratic twists by: -4 8 -7 |