Atkin-Lehner |
2+ 3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850z |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-2451459840000000 = -1 · 214 · 3 · 57 · 172 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47876,-4687102] |
[a1,a2,a3,a4,a6] |
Generators |
[4106542:225462801:1331] |
Generators of the group modulo torsion |
j |
-776683754022961/156893429760 |
j-invariant |
L |
6.2869083021559 |
L(r)(E,1)/r! |
Ω |
0.15964112017814 |
Real period |
R |
9.8453773848083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970q1 |
Quadratic twists by: 5 |