Atkin-Lehner |
2+ 3+ 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
30810a |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10012079370969000 = 23 · 32 · 53 · 134 · 794 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-69973,-5280923] |
[a1,a2,a3,a4,a6] |
Generators |
[19476:74255:64] |
Generators of the group modulo torsion |
j |
37890025036792054489/10012079370969000 |
j-invariant |
L |
3.7789070642279 |
L(r)(E,1)/r! |
Ω |
0.29931135191937 |
Real period |
R |
6.3126691319843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92430bp3 |
Quadratic twists by: -3 |