Atkin-Lehner |
3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175bm |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
18794841359765625 = 37 · 58 · 76 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-198713,-33467208] |
[a1,a2,a3,a4,a6] |
Generators |
[-263:919:1] |
Generators of the group modulo torsion |
j |
55537031513298889/1202869847025 |
j-invariant |
L |
5.2828152842375 |
L(r)(E,1)/r! |
Ω |
0.22642024414579 |
Real period |
R |
0.5555215108804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013483 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635e1 |
Quadratic twists by: 5 |