Atkin-Lehner |
2- 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56650bd |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179840 |
Modular degree for the optimal curve |
Δ |
-97367187500 = -1 · 22 · 59 · 112 · 103 |
Discriminant |
Eigenvalues |
2- -3 5- -2 11- 2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7680,-257553] |
[a1,a2,a3,a4,a6] |
j |
-25646276349/49852 |
j-invariant |
L |
2.0397318139857 |
L(r)(E,1)/r! |
Ω |
0.25496647662661 |
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 |
56650n1 |
Quadratic twists by: 5 |