Atkin-Lehner |
2- 3+ 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610be |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
4969440 |
Modular degree for the optimal curve |
Δ |
2726952960 = 217 · 3 · 5 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -4 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-299994850,1999823502575] |
[a1,a2,a3,a4,a6] |
j |
2985830225085902224288474778401/2726952960 |
j-invariant |
L |
4.7548731821118 |
L(r)(E,1)/r! |
Ω |
0.27969842246434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830z1 |
Quadratic twists by: -3 |