Atkin-Lehner |
2- 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670ci |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-5231821257600000 = -1 · 210 · 3 · 55 · 74 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40965,-4725183] |
[a1,a2,a3,a4,a6] |
Generators |
[314:3503:1] |
Generators of the group modulo torsion |
j |
-3166438754267761/2179017600000 |
j-invariant |
L |
14.837493645086 |
L(r)(E,1)/r! |
Ω |
0.16281922217801 |
Real period |
R |
0.60752424073333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670bi1 |
Quadratic twists by: -7 |