Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bq |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-100878750000 = -1 · 24 · 33 · 57 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,90,15315] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-127:1] |
Generators of the group modulo torsion |
j |
1644195791/2058750000 |
j-invariant |
L |
9.3399935540068 |
L(r)(E,1)/r! |
Ω |
0.83179031741051 |
Real period |
R |
0.40102798910955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670bv1 |
Quadratic twists by: -7 |