Atkin-Lehner |
2- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782w |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
918720 |
Modular degree for the optimal curve |
Δ |
-20240135527448606 = -1 · 2 · 75 · 118 · 532 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 11- 1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-205279,36361491] |
[a1,a2,a3,a4,a6] |
Generators |
[1126:25085:8] |
Generators of the group modulo torsion |
j |
-4462887438097/94421726 |
j-invariant |
L |
4.4782447848864 |
L(r)(E,1)/r! |
Ω |
0.3843002831717 |
Real period |
R |
1.9421638822066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89782k1 |
Quadratic twists by: -11 |