Atkin-Lehner |
3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
36075j |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2044800 |
Modular degree for the optimal curve |
Δ |
-2.4328224582009E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 -6 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2191362,2018971656] |
[a1,a2,a3,a4,a6] |
Generators |
[2824:173912:1] |
Generators of the group modulo torsion |
j |
2979243799349127935/6228025492994253 |
j-invariant |
L |
1.6531962216339 |
L(r)(E,1)/r! |
Ω |
0.10040872967049 |
Real period |
R |
0.82323331201348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108225bh1 36075s1 |
Quadratic twists by: -3 5 |