Atkin-Lehner |
3+ 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
60225m |
Isogeny class |
Conductor |
60225 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-405097179338671875 = -1 · 36 · 58 · 117 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 11- 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2860833,1863665318] |
[a1,a2,a3,a4,a6] |
Generators |
[2986:232921:8] [948:-1634:1] |
Generators of the group modulo torsion |
j |
-6628898199470080000/1037048779107 |
j-invariant |
L |
7.6392481267582 |
L(r)(E,1)/r! |
Ω |
0.28952128353056 |
Real period |
R |
0.62823312311541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60225u1 |
Quadratic twists by: 5 |