Atkin-Lehner |
3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58275h |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-407109557925 = -1 · 38 · 52 · 72 · 373 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -6 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5517,-159314] |
[a1,a2,a3,a4,a6] |
Generators |
[90:214:1] |
Generators of the group modulo torsion |
j |
-1019082645625/22337973 |
j-invariant |
L |
5.007943083121 |
L(r)(E,1)/r! |
Ω |
0.27661562680964 |
Real period |
R |
1.5086949174626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19425c1 58275bg1 |
Quadratic twists by: -3 5 |