Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600q |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-107187500000000 = -1 · 28 · 513 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 -1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5367,-476363] |
[a1,a2,a3,a4,a6] |
j |
12459008/78125 |
j-invariant |
L |
1.1889141198038 |
L(r)(E,1)/r! |
Ω |
0.29722852995094 |
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 |
9800bb1 78400hj1 3920j1 19600k1 |
Quadratic twists by: -4 8 5 -7 |