Atkin-Lehner |
2+ 3- 13- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582q |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-36022095802368 = -1 · 212 · 36 · 133 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 6 13- 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4563,-264411] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1131:1] |
Generators of the group modulo torsion |
j |
14410997795375/49413025792 |
j-invariant |
L |
5.9084224552973 |
L(r)(E,1)/r! |
Ω |
0.33202655304065 |
Real period |
R |
2.9658383247182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398i1 |
Quadratic twists by: -3 |