Atkin-Lehner |
3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99705i |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1131520 |
Modular degree for the optimal curve |
Δ |
414242276088583125 = 35 · 54 · 179 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 -4 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-298055,-54341647] |
[a1,a2,a3,a4,a6] |
Generators |
[-6927:61399:27] |
Generators of the group modulo torsion |
j |
24693014528/3493125 |
j-invariant |
L |
3.8653880010541 |
L(r)(E,1)/r! |
Ω |
0.20625032477266 |
Real period |
R |
2.342655715237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999593025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99705n1 |
Quadratic twists by: 17 |