Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248b |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-561333142494208 = -1 · 210 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 0 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31211,2409066] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:2116:1] [35:1166:1] |
Generators of the group modulo torsion |
j |
-22180932/3703 |
j-invariant |
L |
8.29976454838 |
L(r)(E,1)/r! |
Ω |
0.49911122383155 |
Real period |
R |
4.1572720428243 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29624h1 2576h1 |
Quadratic twists by: -4 -23 |