Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122892ba |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-1651159555190095104 = -1 · 28 · 35 · 73 · 118 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-640012,206330900] |
[a1,a2,a3,a4,a6] |
Generators |
[-397:19950:1] |
Generators of the group modulo torsion |
j |
-330182959686786736/18804204117963 |
j-invariant |
L |
9.5895498426232 |
L(r)(E,1)/r! |
Ω |
0.26278213441914 |
Real period |
R |
3.6492396528261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122892e2 |
Quadratic twists by: -7 |