Atkin-Lehner |
2- 3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382bh |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-1140606158985216 = -1 · 211 · 35 · 77 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5685,-1635621] |
[a1,a2,a3,a4,a6] |
Generators |
[279:-4452:1] |
Generators of the group modulo torsion |
j |
-172715635009/9694992384 |
j-invariant |
L |
9.2472126728239 |
L(r)(E,1)/r! |
Ω |
0.21453421326271 |
Real period |
R |
0.97962894225425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626o1 |
Quadratic twists by: -7 |