Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
124545w |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59040 |
Modular degree for the optimal curve |
Δ |
-59158875 = -1 · 3 · 53 · 193 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 -3 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3331,-75119] |
[a1,a2,a3,a4,a6] |
Generators |
[4976129:17667488:68921] |
Generators of the group modulo torsion |
j |
-596097335296/8625 |
j-invariant |
L |
6.6718630194058 |
L(r)(E,1)/r! |
Ω |
0.31420613415352 |
Real period |
R |
10.617015965573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999008195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124545c1 |
Quadratic twists by: -19 |