Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560cg |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
15195600 = 24 · 34 · 52 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141,-666] |
[a1,a2,a3,a4,a6] |
Generators |
[54:390:1] |
Generators of the group modulo torsion |
j |
19513606144/949725 |
j-invariant |
L |
6.9011314706597 |
L(r)(E,1)/r! |
Ω |
1.3888252852051 |
Real period |
R |
2.4845211140556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999724786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140e1 |
Quadratic twists by: -4 |