Atkin-Lehner |
2+ 3+ 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
30810k |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7616 |
Modular degree for the optimal curve |
Δ |
9859200 = 27 · 3 · 52 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 2 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67,-179] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
34043726521/9859200 |
j-invariant |
L |
3.9189983118527 |
L(r)(E,1)/r! |
Ω |
1.7023515579367 |
Real period |
R |
1.151054344087 |
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 |
92430bg1 |
Quadratic twists by: -3 |