Atkin-Lehner |
7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
108241a |
Isogeny class |
Conductor |
108241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-3697270857847 = -1 · 73 · 476 |
Discriminant |
Eigenvalues |
1 0 0 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4832,160187] |
[a1,a2,a3,a4,a6] |
Generators |
[3162:27875:27] |
Generators of the group modulo torsion |
j |
-3375 |
j-invariant |
L |
4.5510680325813 |
L(r)(E,1)/r! |
Ω |
0.74610847219943 |
Real period |
R |
6.0997404222174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108241a3 49a1 |
Quadratic twists by: -7 -47 |