Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450bz |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-1145078208000000000 = -1 · 215 · 311 · 59 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-249755,-70355253] |
[a1,a2,a3,a4,a6] |
Generators |
[779:14010:1] |
Generators of the group modulo torsion |
j |
-151257563987041/100528128000 |
j-invariant |
L |
10.58727584319 |
L(r)(E,1)/r! |
Ω |
0.10369848509494 |
Real period |
R |
1.7016121038316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150g1 9090d1 |
Quadratic twists by: -3 5 |