Atkin-Lehner |
2- 3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578br |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-5559342996092004 = -1 · 22 · 324 · 7 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 6 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3281,-3587227] |
[a1,a2,a3,a4,a6] |
j |
-5356619222473/7625984905476 |
j-invariant |
L |
6.9650949988847 |
L(r)(E,1)/r! |
Ω |
0.19347485826464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29526n1 |
Quadratic twists by: -3 |