Atkin-Lehner |
3+ 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
60225l |
Isogeny class |
Conductor |
60225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-44619523407421875 = -1 · 311 · 58 · 112 · 732 |
Discriminant |
Eigenvalues |
0 3+ 5- 5 11+ 1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1167,10162568] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:1919:1] |
Generators of the group modulo torsion |
j |
449576960/114225979923 |
j-invariant |
L |
5.3675458542285 |
L(r)(E,1)/r! |
Ω |
0.28508907338303 |
Real period |
R |
4.7069024693596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60225r1 |
Quadratic twists by: 5 |