Atkin-Lehner |
3- 5+ 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395h |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39911424 |
Modular degree for the optimal curve |
Δ |
2.2925482841238E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-937962698,-11056249406928] |
[a1,a2,a3,a4,a6] |
Generators |
[5295220884:4646231735721:6859] |
Generators of the group modulo torsion |
j |
125185170434731557236225046361/3144785026232883515625 |
j-invariant |
L |
2.4849738484575 |
L(r)(E,1)/r! |
Ω |
0.027280593700369 |
Real period |
R |
15.181572497569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999284673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36465l1 |
Quadratic twists by: -3 |