Atkin-Lehner |
2- 3- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270be |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-93498011640 = -1 · 23 · 37 · 5 · 114 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-428,15207] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:111:1] |
Generators of the group modulo torsion |
j |
-11867954041/128255160 |
j-invariant |
L |
9.1447489226485 |
L(r)(E,1)/r! |
Ω |
0.91095968408693 |
Real period |
R |
0.20913724929133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24090f1 |
Quadratic twists by: -3 |