Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105g |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
541305990225 = 32 · 52 · 76 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2451,29448] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:279:1] [-36:287:1] |
Generators of the group modulo torsion |
j |
13841287201/4601025 |
j-invariant |
L |
5.7169989970185 |
L(r)(E,1)/r! |
Ω |
0.85171645253613 |
Real period |
R |
1.67808164955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974386 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2145g2 |
Quadratic twists by: -7 |