Atkin-Lehner |
2+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72520n |
Isogeny class |
Conductor |
72520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-177909544960 = -1 · 211 · 5 · 73 · 373 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 -5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-520,-20628] |
[a1,a2,a3,a4,a6] |
j |
-22179134/253265 |
j-invariant |
L |
2.5899486402701 |
L(r)(E,1)/r! |
Ω |
0.43165810633377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72520h1 |
Quadratic twists by: -7 |