Atkin-Lehner |
2+ 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32450h |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-77658934375000 = -1 · 23 · 58 · 112 · 593 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 11+ 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10299,-132952] |
[a1,a2,a3,a4,a6] |
Generators |
[2894:55661:8] |
Generators of the group modulo torsion |
j |
309321044375/198806872 |
j-invariant |
L |
2.4474490579743 |
L(r)(E,1)/r! |
Ω |
0.34985904878928 |
Real period |
R |
3.497764408901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32450p1 |
Quadratic twists by: 5 |