Atkin-Lehner |
2- 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108974d |
Isogeny class |
Conductor |
108974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-89794576 = -1 · 24 · 232 · 1032 |
Discriminant |
Eigenvalues |
2- 0 1 4 2 -3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-157,-843] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-4:1] |
Generators of the group modulo torsion |
j |
-804213009/169744 |
j-invariant |
L |
12.855799040327 |
L(r)(E,1)/r! |
Ω |
0.66715417408257 |
Real period |
R |
2.4087009211308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108974f1 |
Quadratic twists by: -23 |