Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072w |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-7491039517817856 = -1 · 210 · 39 · 7 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13- -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157491,-24414210] |
[a1,a2,a3,a4,a6] |
j |
-21433825209996/371664293 |
j-invariant |
L |
0.71822401191596 |
L(r)(E,1)/r! |
Ω |
0.11970399947476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72072f1 |
Quadratic twists by: -3 |