Atkin-Lehner |
2+ 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
62040h |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
222208 |
Modular degree for the optimal curve |
Δ |
-46488545492400 = -1 · 24 · 314 · 52 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34171,2441954] |
[a1,a2,a3,a4,a6] |
Generators |
[29:1215:1] |
Generators of the group modulo torsion |
j |
-275796978629822464/2905534093275 |
j-invariant |
L |
5.2434080426579 |
L(r)(E,1)/r! |
Ω |
0.64053297369735 |
Real period |
R |
0.29235742833087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080d1 |
Quadratic twists by: -4 |