Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350k |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-3161816875000000 = -1 · 26 · 510 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 5 -7 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24883,-2250459] |
[a1,a2,a3,a4,a6] |
Generators |
[450:9771:1] |
Generators of the group modulo torsion |
j |
1482975/2752 |
j-invariant |
L |
3.1159348934625 |
L(r)(E,1)/r! |
Ω |
0.23480821854068 |
Real period |
R |
3.3175317161037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000143201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350df1 2150b1 |
Quadratic twists by: 5 -7 |