Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900cf |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-31963832232750000 = -1 · 24 · 38 · 56 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72600,-4159375] |
[a1,a2,a3,a4,a6] |
Generators |
[154:-3267:1] [100:2025:1] |
Generators of the group modulo torsion |
j |
131072/99 |
j-invariant |
L |
11.330491510656 |
L(r)(E,1)/r! |
Ω |
0.20679494444798 |
Real period |
R |
1.1414781298271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36300n1 4356f1 9900k1 |
Quadratic twists by: -3 5 -11 |