Atkin-Lehner |
3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175bh |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-1009941756591796875 = -1 · 37 · 513 · 7 · 11 · 173 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11+ 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1235158,530158594] |
[a1,a2,a3,a4,a6] |
Generators |
[938:14062:1] |
Generators of the group modulo torsion |
j |
-13337412539135832064/64636272421875 |
j-invariant |
L |
4.715220795512 |
L(r)(E,1)/r! |
Ω |
0.27891801595072 |
Real period |
R |
0.6037643090608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999710075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19635c1 |
Quadratic twists by: 5 |