Atkin-Lehner |
3+ 5- 37+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
111555d |
Isogeny class |
Conductor |
111555 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-2043255324375 = -1 · 39 · 54 · 37 · 672 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15054,-710497] |
[a1,a2,a3,a4,a6] |
Generators |
[1945042:16228963:10648] |
Generators of the group modulo torsion |
j |
-19169217376947/103808125 |
j-invariant |
L |
8.6766924851884 |
L(r)(E,1)/r! |
Ω |
0.21543417528496 |
Real period |
R |
10.06884411453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999969622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111555a1 |
Quadratic twists by: -3 |