Atkin-Lehner |
3- 5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109275l |
Isogeny class |
Conductor |
109275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
18311689828125 = 33 · 56 · 314 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 -1 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11383,415894] |
[a1,a2,a3,a4,a6] |
Generators |
[44:46:1] |
Generators of the group modulo torsion |
j |
10440277590016/1171948149 |
j-invariant |
L |
7.9440904287513 |
L(r)(E,1)/r! |
Ω |
0.66722495408124 |
Real period |
R |
0.99218042058256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4371b1 |
Quadratic twists by: 5 |