Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
3600m |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-37324800 = -1 · 211 · 36 · 52 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 1 -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,-270] |
[a1,a2,a3,a4,a6] |
j |
270 |
j-invariant |
L |
2.0878227403047 |
L(r)(E,1)/r! |
Ω |
1.0439113701523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1800f1 14400dx1 400h1 3600t1 |
Quadratic twists by: -4 8 -3 5 |