Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1950s |
Isogeny class |
Conductor |
1950 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
19320 |
Modular degree for the optimal curve |
Δ |
-93162700800000000 = -1 · 223 · 37 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-224763,-43657719] |
[a1,a2,a3,a4,a6] |
j |
-3214683778008145/238496514048 |
j-invariant |
L |
2.5108330629862 |
L(r)(E,1)/r! |
Ω |
0.10916665491244 |
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 |
15600cs1 62400dg1 5850x1 1950f1 |
Quadratic twists by: -4 8 -3 5 |