Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dp |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296000 |
Modular degree for the optimal curve |
Δ |
-2.2764616856528E+25 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11+ -6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-98567175,441097174656] |
[a1,a2,a3,a4,a6] |
Generators |
[-9240:750312:1] |
Generators of the group modulo torsion |
j |
-79028701534867456/16987307596875 |
j-invariant |
L |
3.5214518612969 |
L(r)(E,1)/r! |
Ω |
0.064736783909543 |
Real period |
R |
1.6998893949909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998393282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425cs1 24255bo1 17325k1 |
Quadratic twists by: -3 5 -7 |