Atkin-Lehner |
2- 3+ 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110bs |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
165312 |
Modular degree for the optimal curve |
Δ |
-1492242238080 = -1 · 27 · 39 · 5 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ 5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8453,-302723] |
[a1,a2,a3,a4,a6] |
Generators |
[115:428:1] |
Generators of the group modulo torsion |
j |
-3393257824683/75813760 |
j-invariant |
L |
8.6537008313748 |
L(r)(E,1)/r! |
Ω |
0.24862610487744 |
Real period |
R |
2.4861487811673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110g1 |
Quadratic twists by: -3 |