Atkin-Lehner |
3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72075q |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
453600 |
Modular degree for the optimal curve |
Δ |
-7100649938671875 = -1 · 39 · 58 · 314 |
Discriminant |
Eigenvalues |
1 3+ 5- 1 -4 6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,47550,-694125] |
[a1,a2,a3,a4,a6] |
j |
32957495/19683 |
j-invariant |
L |
2.9364649391746 |
L(r)(E,1)/r! |
Ω |
0.24470540953824 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075y1 72075bk1 |
Quadratic twists by: 5 -31 |