Atkin-Lehner |
2- 3+ 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850bw |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-316853437500 = -1 · 22 · 33 · 57 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,412,-26719] |
[a1,a2,a3,a4,a6] |
Generators |
[46600:427219:512] |
Generators of the group modulo torsion |
j |
494913671/20278620 |
j-invariant |
L |
6.7401072265626 |
L(r)(E,1)/r! |
Ω |
0.46404025268531 |
Real period |
R |
7.262416484294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970f1 |
Quadratic twists by: 5 |