Atkin-Lehner |
2- 3+ 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450bp |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
7929340197229687500 = 22 · 34 · 58 · 115 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 5 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1039138,-384981469] |
[a1,a2,a3,a4,a6] |
Generators |
[5585:407157:1] |
Generators of the group modulo torsion |
j |
317675252468506945/20299110904908 |
j-invariant |
L |
9.2528122632175 |
L(r)(E,1)/r! |
Ω |
0.15013020142408 |
Real period |
R |
5.1359931832539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999674073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450x1 |
Quadratic twists by: 5 |