Atkin-Lehner |
2- 3+ 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450bp |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1053696 |
Modular degree for the optimal curve |
Δ |
-1110046842000000 = -1 · 27 · 37 · 56 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-446038,-114855469] |
[a1,a2,a3,a4,a6] |
Generators |
[8750:208371:8] |
Generators of the group modulo torsion |
j |
-628086308429730457/71042997888 |
j-invariant |
L |
9.1510272515714 |
L(r)(E,1)/r! |
Ω |
0.092368446992781 |
Real period |
R |
7.0764944675891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218c1 |
Quadratic twists by: 5 |