Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912w |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-89440811712 = -1 · 26 · 311 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -1 0 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2847,-61173] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1053:1] |
Generators of the group modulo torsion |
j |
-39889507589632/1397512683 |
j-invariant |
L |
7.8291673093228 |
L(r)(E,1)/r! |
Ω |
0.32611190806155 |
Real period |
R |
2.1825099454245 |
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 |
30912i1 15456k1 92736be1 |
Quadratic twists by: -4 8 -3 |