Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224cv |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-84950623715328 = -1 · 222 · 310 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,-442960] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1449:1] |
Generators of the group modulo torsion |
j |
4913/1296 |
j-invariant |
L |
3.5987665397077 |
L(r)(E,1)/r! |
Ω |
0.28512413247761 |
Real period |
R |
3.1554383948808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224gq1 882k1 9408s1 28224ct1 |
Quadratic twists by: -4 8 -3 -7 |