Atkin-Lehner |
2- 3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040co |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-116319006720 = -1 · 212 · 37 · 5 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1765,-33517] |
[a1,a2,a3,a4,a6] |
Generators |
[62:315:1] |
Generators of the group modulo torsion |
j |
-148540174336/28398195 |
j-invariant |
L |
9.8369831950375 |
L(r)(E,1)/r! |
Ω |
0.36449662195809 |
Real period |
R |
1.927704166499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5565e1 |
Quadratic twists by: -4 |