Atkin-Lehner |
2- 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450ce |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
1588654080000 = 215 · 33 · 54 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 13+ 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21830,1245397] |
[a1,a2,a3,a4,a6] |
Generators |
[109:335:1] [-71:1595:1] |
Generators of the group modulo torsion |
j |
68174582440275/94142464 |
j-invariant |
L |
15.413971311884 |
L(r)(E,1)/r! |
Ω |
0.84345504621718 |
Real period |
R |
0.10152666029842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450g1 99450d1 |
Quadratic twists by: -3 5 |