Atkin-Lehner |
2+ 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530d |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-526293924631200 = -1 · 25 · 32 · 52 · 119 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18878,-1496172] |
[a1,a2,a3,a4,a6] |
Generators |
[1462:8029:8] [259:-3457:1] |
Generators of the group modulo torsion |
j |
-420021471169/297079200 |
j-invariant |
L |
6.8898124170038 |
L(r)(E,1)/r! |
Ω |
0.19748894047897 |
Real period |
R |
2.1804424844801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230x1 |
Quadratic twists by: -11 |