Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3696p |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-14669424 = -1 · 24 · 35 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1706,27699] |
[a1,a2,a3,a4,a6] |
Generators |
[25:7:1] |
Generators of the group modulo torsion |
j |
-34339609640704/916839 |
j-invariant |
L |
2.9319626454115 |
L(r)(E,1)/r! |
Ω |
2.06165487603 |
Real period |
R |
0.47404679278123 |
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 |
924f1 14784co1 11088bv1 92400fw1 |
Quadratic twists by: -4 8 -3 5 |