Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912bg |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-15826944 = -1 · 215 · 3 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 4 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-191] |
[a1,a2,a3,a4,a6] |
j |
-8/483 |
j-invariant |
L |
2.0150140260643 |
L(r)(E,1)/r! |
Ω |
1.0075070130328 |
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 |
30912cj1 15456q1 92736ek1 |
Quadratic twists by: -4 8 -3 |