Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90576cd |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-770172800256 = -1 · 28 · 314 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 3 5 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4359,118546] |
[a1,a2,a3,a4,a6] |
Generators |
[322:729:8] |
Generators of the group modulo torsion |
j |
-49081386832/4126869 |
j-invariant |
L |
6.5934755408646 |
L(r)(E,1)/r! |
Ω |
0.87883608384028 |
Real period |
R |
1.8756272269176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22644i1 30192be1 |
Quadratic twists by: -4 -3 |