Atkin-Lehner |
2+ 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760x |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-1804756140000000 = -1 · 28 · 37 · 57 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12228,1976564] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:990:1] [-82:650:1] |
Generators of the group modulo torsion |
j |
1083484015616/9670546875 |
j-invariant |
L |
12.505096882115 |
L(r)(E,1)/r! |
Ω |
0.34435152123387 |
Real period |
R |
0.10808010985736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40920t1 |
Quadratic twists by: -3 |