Atkin-Lehner |
3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
85305q |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
-518227875 = -1 · 36 · 53 · 112 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 11- 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10721,-430864] |
[a1,a2,a3,a4,a6] |
Generators |
[280:4312:1] |
Generators of the group modulo torsion |
j |
-1126379500601344/4282875 |
j-invariant |
L |
6.9162949751305 |
L(r)(E,1)/r! |
Ω |
0.23458879273491 |
Real period |
R |
4.9137719495977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85305r1 |
Quadratic twists by: -11 |