Atkin-Lehner |
2+ 3- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494o |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-530710209293451264 = -1 · 218 · 36 · 74 · 114 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-150291,-41572683] |
[a1,a2,a3,a4,a6] |
Generators |
[1447:51899:1] |
Generators of the group modulo torsion |
j |
-514987552087139377/727997543612416 |
j-invariant |
L |
5.5172491452263 |
L(r)(E,1)/r! |
Ω |
0.11531793555726 |
Real period |
R |
5.980475997048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999640973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166p1 |
Quadratic twists by: -3 |