Atkin-Lehner |
2+ 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
8930h |
Isogeny class |
Conductor |
8930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-204936523437500000 = -1 · 25 · 516 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ 3 5- -1 2 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-230239,-47718355] |
[a1,a2,a3,a4,a6] |
j |
-1349775199120665517641/204936523437500000 |
j-invariant |
L |
3.458212104843 |
L(r)(E,1)/r! |
Ω |
0.10806912827634 |
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 |
71440k1 80370bp1 44650v1 |
Quadratic twists by: -4 -3 5 |