Atkin-Lehner |
2- 3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450de |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
101088 |
Modular degree for the optimal curve |
Δ |
-5382720000 = -1 · 29 · 33 · 54 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,287,3017] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:19:1] |
Generators of the group modulo torsion |
j |
4182103775/8612352 |
j-invariant |
L |
11.979364729039 |
L(r)(E,1)/r! |
Ω |
0.93903943155785 |
Real period |
R |
1.4174490223413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009371 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
93450c1 |
Quadratic twists by: 5 |