Atkin-Lehner |
3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111909h |
Isogeny class |
Conductor |
111909 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-14299062468453 = -1 · 37 · 75 · 733 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 4 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1133,182430] |
[a1,a2,a3,a4,a6] |
Generators |
[79:727:1] |
Generators of the group modulo torsion |
j |
-413493625/36756909 |
j-invariant |
L |
6.5286154294459 |
L(r)(E,1)/r! |
Ω |
0.57898085649068 |
Real period |
R |
0.16108638654406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111909f1 |
Quadratic twists by: 73 |