Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450cj |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
141367680000 = 210 · 37 · 54 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1355,6747] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:90:1] [-31:150:1] |
Generators of the group modulo torsion |
j |
603439225/310272 |
j-invariant |
L |
12.151954985264 |
L(r)(E,1)/r! |
Ω |
0.91120230467947 |
Real period |
R |
0.11113480620473 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150i1 45450t1 |
Quadratic twists by: -3 5 |