Atkin-Lehner |
2- 7+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
126896h |
Isogeny class |
Conductor |
126896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1266096154222592 = 213 · 7 · 118 · 103 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127931,-17528726] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:282:1] |
Generators of the group modulo torsion |
j |
56531583177178257/309105506402 |
j-invariant |
L |
2.0683730101931 |
L(r)(E,1)/r! |
Ω |
0.25252162816553 |
Real period |
R |
4.0954372998754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15862d4 |
Quadratic twists by: -4 |