Atkin-Lehner |
2+ 3+ 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270c |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-3948409800 = -1 · 23 · 39 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -4 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-285,-3475] |
[a1,a2,a3,a4,a6] |
Generators |
[25:55:1] |
Generators of the group modulo torsion |
j |
-130323843/200600 |
j-invariant |
L |
2.5027813489865 |
L(r)(E,1)/r! |
Ω |
0.55095130422112 |
Real period |
R |
1.1356635948968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999757357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90270s1 |
Quadratic twists by: -3 |