Atkin-Lehner |
3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30153f |
Isogeny class |
Conductor |
30153 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-9762169114144179 = -1 · 38 · 19 · 238 |
Discriminant |
Eigenvalues |
0 3- -1 -1 3 -6 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-246161,-47330458] |
[a1,a2,a3,a4,a6] |
Generators |
[3028:164254:1] |
Generators of the group modulo torsion |
j |
-11143361069056/65944611 |
j-invariant |
L |
4.6043191152848 |
L(r)(E,1)/r! |
Ω |
0.10712996658649 |
Real period |
R |
1.3430879980392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90459i1 1311c1 |
Quadratic twists by: -3 -23 |