Atkin-Lehner |
2+ 3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786r |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2194155732384 = 25 · 32 · 77 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-643836,198575280] |
[a1,a2,a3,a4,a6] |
Generators |
[-603:19485:1] |
Generators of the group modulo torsion |
j |
250877836417618873/18650016 |
j-invariant |
L |
3.5537042489593 |
L(r)(E,1)/r! |
Ω |
0.62560288748597 |
Real period |
R |
2.840223662883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398l2 |
Quadratic twists by: -7 |