Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248k |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-58844029741056 = -1 · 211 · 39 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 3 -3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9573,79018] |
[a1,a2,a3,a4,a6] |
Generators |
[209:-3348:1] |
Generators of the group modulo torsion |
j |
64984593742/39413493 |
j-invariant |
L |
5.9967115176961 |
L(r)(E,1)/r! |
Ω |
0.38431991556662 |
Real period |
R |
0.16253580011305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15624x1 124992ev1 10416h1 |
Quadratic twists by: -4 8 -3 |