Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240dl |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-3084480 = -1 · 26 · 34 · 5 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -7 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9,-81] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
1124864/48195 |
j-invariant |
L |
6.9209882426068 |
L(r)(E,1)/r! |
Ω |
1.2131193510257 |
Real period |
R |
1.4262793407356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999562905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114240a1 57120bs1 |
Quadratic twists by: -4 8 |