Atkin-Lehner |
11+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98527d |
Isogeny class |
Conductor |
98527 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-10521034949581013 = -1 · 114 · 136 · 533 |
Discriminant |
Eigenvalues |
-1 -1 -4 -4 11+ 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60590,-7595424] |
[a1,a2,a3,a4,a6] |
Generators |
[652:14859:1] |
Generators of the group modulo torsion |
j |
-5096439860329/2179708157 |
j-invariant |
L |
1.2789051832431 |
L(r)(E,1)/r! |
Ω |
0.14904050837835 |
Real period |
R |
4.2904617950979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997576408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
583b1 |
Quadratic twists by: 13 |