Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488bf |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-507985627742208 = -1 · 215 · 32 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10911,988065] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:216:1] [33:-1176:1] |
Generators of the group modulo torsion |
j |
37259704/131769 |
j-invariant |
L |
8.3731116239514 |
L(r)(E,1)/r! |
Ω |
0.370781345829 |
Real period |
R |
2.822792906542 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ef3 51744bq2 2112k4 |
Quadratic twists by: -4 8 -7 |