Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488cz |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-110453956107264 = -1 · 210 · 35 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-334441,74333951] |
[a1,a2,a3,a4,a6] |
Generators |
[338:147:1] |
Generators of the group modulo torsion |
j |
-34339609640704/916839 |
j-invariant |
L |
7.3172991093265 |
L(r)(E,1)/r! |
Ω |
0.55100044256259 |
Real period |
R |
1.3280024011909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488ge1 6468f1 14784a1 |
Quadratic twists by: -4 8 -7 |