Atkin-Lehner |
2+ 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450bh |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
33966553289062500 = 22 · 316 · 59 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-184617,-29169959] |
[a1,a2,a3,a4,a6] |
Generators |
[-2298:3649:8] [-256:1253:1] |
Generators of the group modulo torsion |
j |
488745235133/23855796 |
j-invariant |
L |
6.9372086227927 |
L(r)(E,1)/r! |
Ω |
0.23101736919 |
Real period |
R |
7.5072370609138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15150bf1 45450cl1 |
Quadratic twists by: -3 5 |