Atkin-Lehner |
3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553l |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27216 |
Modular degree for the optimal curve |
Δ |
-23948379 = -1 · 36 · 7 · 13 · 192 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 6 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,51,173] |
[a1,a2,a3,a4,a6] |
Generators |
[42:185:8] |
Generators of the group modulo torsion |
j |
39845888/66339 |
j-invariant |
L |
6.4528645976987 |
L(r)(E,1)/r! |
Ω |
1.456895312903 |
Real period |
R |
2.2145944710953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999811855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98553bb1 |
Quadratic twists by: -19 |