Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400h |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-3984588800000000 = -1 · 229 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 5 4 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76300,8662000] |
[a1,a2,a3,a4,a6] |
Generators |
[126:-1024:1] |
Generators of the group modulo torsion |
j |
-11993263569/972800 |
j-invariant |
L |
4.3780456682125 |
L(r)(E,1)/r! |
Ω |
0.43127333631923 |
Real period |
R |
1.2689300785372 |
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 |
30400bx1 950c1 6080h1 |
Quadratic twists by: -4 8 5 |