Atkin-Lehner |
2- 3- 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774bz |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-1014511467816 = -1 · 23 · 36 · 7 · 112 · 593 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- -4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6932,229087] |
[a1,a2,a3,a4,a6] |
Generators |
[331:5675:1] |
Generators of the group modulo torsion |
j |
-50525789641209/1391648104 |
j-invariant |
L |
10.519037343915 |
L(r)(E,1)/r! |
Ω |
0.87461259009531 |
Real period |
R |
0.33408561122308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9086a1 |
Quadratic twists by: -3 |