Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600dx |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-36753750000 = -1 · 24 · 35 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,-9187] |
[a1,a2,a3,a4,a6] |
Generators |
[22:63:1] [38:-225:1] |
Generators of the group modulo torsion |
j |
2816/1215 |
j-invariant |
L |
11.817389719205 |
L(r)(E,1)/r! |
Ω |
0.54167007444443 |
Real period |
R |
0.5454145556828 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520d1 72600bn1 |
Quadratic twists by: 5 -11 |