Atkin-Lehner |
2- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650dd |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-23805539843750 = -1 · 2 · 58 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 4 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8805,-393053] |
[a1,a2,a3,a4,a6] |
j |
-1642545/518 |
j-invariant |
L |
13.096099681944 |
L(r)(E,1)/r! |
Ω |
0.24252036412223 |
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 |
90650o1 12950s1 |
Quadratic twists by: 5 -7 |