Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520ba |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-3731568750000 = -1 · 24 · 38 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,582,92783] |
[a1,a2,a3,a4,a6] |
Generators |
[23:344:1] [103:1116:1] |
Generators of the group modulo torsion |
j |
1869154304/319921875 |
j-invariant |
L |
9.9295890415273 |
L(r)(E,1)/r! |
Ω |
0.60685825625929 |
Real period |
R |
16.362287138909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760j1 21840j1 |
Quadratic twists by: -4 -3 |