Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30492i |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1431956645247744 = -1 · 28 · 36 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17952,-1567676] |
[a1,a2,a3,a4,a6] |
Generators |
[3828:-52822:27] |
Generators of the group modulo torsion |
j |
2575826944/5764801 |
j-invariant |
L |
4.9668131036163 |
L(r)(E,1)/r! |
Ω |
0.2485962660353 |
Real period |
R |
1.6649529720179 |
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 |
121968fb1 3388a1 30492x1 |
Quadratic twists by: -4 -3 -11 |