Atkin-Lehner |
3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94809m |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
270720 |
Modular degree for the optimal curve |
Δ |
-28851990453 = -1 · 35 · 11 · 133 · 173 |
Discriminant |
Eigenvalues |
1 3+ -4 -1 11- 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27472,1741225] |
[a1,a2,a3,a4,a6] |
Generators |
[96:-35:1] |
Generators of the group modulo torsion |
j |
-1043732458060453/13132449 |
j-invariant |
L |
2.9758906959115 |
L(r)(E,1)/r! |
Ω |
1.0736212979111 |
Real period |
R |
1.3859126630141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999724394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94809g1 |
Quadratic twists by: 13 |