Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296bb |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
42038115693622272 = 210 · 38 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1034024,404245380] |
[a1,a2,a3,a4,a6] |
Generators |
[-488:28158:1] |
Generators of the group modulo torsion |
j |
2538016415428/872613 |
j-invariant |
L |
7.1635747901075 |
L(r)(E,1)/r! |
Ω |
0.35463658850547 |
Real period |
R |
2.5249702982593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999565705 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60648ba4 6384c3 |
Quadratic twists by: -4 -19 |