Atkin-Lehner |
5+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124315b |
Isogeny class |
Conductor |
124315 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
869710847875 = 53 · 236 · 47 |
Discriminant |
Eigenvalues |
-1 -1 5+ -1 3 -3 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2656,-28722] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1258:1] |
Generators of the group modulo torsion |
j |
13997521/5875 |
j-invariant |
L |
2.6353149470943 |
L(r)(E,1)/r! |
Ω |
0.69035813238802 |
Real period |
R |
1.9086578192772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000197799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
235a1 |
Quadratic twists by: -23 |