Atkin-Lehner |
2+ 3- 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870o |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
12533760 |
Modular degree for the optimal curve |
Δ |
2.4474821113125E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35781939,78879785845] |
[a1,a2,a3,a4,a6] |
j |
6950047994012834736391729/335731428163584000000 |
j-invariant |
L |
1.1707292672602 |
L(r)(E,1)/r! |
Ω |
0.09756077626622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290n1 |
Quadratic twists by: -3 |