Atkin-Lehner |
2+ 3+ 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270h |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-577148220 = -1 · 22 · 33 · 5 · 114 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-219,-1647] |
[a1,a2,a3,a4,a6] |
j |
-43132764843/21375860 |
j-invariant |
L |
2.4244926680274 |
L(r)(E,1)/r! |
Ω |
0.60612316832713 |
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 |
72270r1 |
Quadratic twists by: -3 |