Atkin-Lehner |
2+ 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
89352f |
Isogeny class |
Conductor |
89352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-146381401504512 = -1 · 28 · 313 · 173 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 -6 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-241023,45548210] |
[a1,a2,a3,a4,a6] |
Generators |
[595:10620:1] |
Generators of the group modulo torsion |
j |
-8297202353469136/784365363 |
j-invariant |
L |
9.657011863695 |
L(r)(E,1)/r! |
Ω |
0.55466432433446 |
Real period |
R |
4.3526379108587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29784j1 |
Quadratic twists by: -3 |