Atkin-Lehner |
2- 3- 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
30810bf |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
97344 |
Modular degree for the optimal curve |
Δ |
5678899200 = 213 · 33 · 52 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -2 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-181506,29748420] |
[a1,a2,a3,a4,a6] |
Generators |
[228:-594:1] |
Generators of the group modulo torsion |
j |
661297406695376993569/5678899200 |
j-invariant |
L |
9.2105494566723 |
L(r)(E,1)/r! |
Ω |
0.93801220304918 |
Real period |
R |
0.12588745328619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92430s1 |
Quadratic twists by: -3 |