Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275ft |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.631321424002E+20 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1262133,-1003155084] |
[a1,a2,a3,a4,a6] |
Generators |
[7494:249297:8] [1644:73428:1] |
Generators of the group modulo torsion |
j |
3869893/9801 |
j-invariant |
L |
13.444442010817 |
L(r)(E,1)/r! |
Ω |
0.084509717204554 |
Real period |
R |
19.885941007217 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425df2 121275fx2 121275fr2 |
Quadratic twists by: -3 5 -7 |