Atkin-Lehner |
2+ 3- 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
30810r |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
23284800 |
Modular degree for the optimal curve |
Δ |
1.5481846387948E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 6 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-474097393,3493270453508] |
[a1,a2,a3,a4,a6] |
j |
11784913858259112157276373005321/1548184638794773005000000000 |
j-invariant |
L |
3.2105513757584 |
L(r)(E,1)/r! |
Ω |
0.045865019653693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92430bf1 |
Quadratic twists by: -3 |