Atkin-Lehner |
2+ 3- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
115632f |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2134655112801024 = -1 · 28 · 311 · 112 · 733 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 11+ 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31092,-698884] |
[a1,a2,a3,a4,a6] |
Generators |
[41:803:1] |
Generators of the group modulo torsion |
j |
17811569736704/11438266851 |
j-invariant |
L |
7.6218127649781 |
L(r)(E,1)/r! |
Ω |
0.2654830403147 |
Real period |
R |
1.1962177835972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999993092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57816i1 38544b1 |
Quadratic twists by: -4 -3 |