Atkin-Lehner |
2- 3- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
72270bc |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
23737677004800 = 214 · 38 · 52 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40253,3109637] |
[a1,a2,a3,a4,a6] |
Generators |
[-227:828:1] [15:-1592:1] |
Generators of the group modulo torsion |
j |
9894203278383241/32561971200 |
j-invariant |
L |
13.423132821831 |
L(r)(E,1)/r! |
Ω |
0.67722080260388 |
Real period |
R |
0.35394482784526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24090j1 |
Quadratic twists by: -3 |