Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960d |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-50310881740800 = -1 · 211 · 312 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6117,-287318] |
[a1,a2,a3,a4,a6] |
Generators |
[41:180:1] [81:-860:1] |
Generators of the group modulo torsion |
j |
16954370638/33698025 |
j-invariant |
L |
7.3786176520409 |
L(r)(E,1)/r! |
Ω |
0.33044522545275 |
Real period |
R |
1.3955825889776 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15480l2 123840gj2 10320n2 |
Quadratic twists by: -4 8 -3 |