Atkin-Lehner |
2+ 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
60600g |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2527200 |
Modular degree for the optimal curve |
Δ |
-9057747543750000 = -1 · 24 · 315 · 58 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -3 2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20186708,34916450037] |
[a1,a2,a3,a4,a6] |
j |
-145559387462984500480/1449239607 |
j-invariant |
L |
1.7230105680663 |
L(r)(E,1)/r! |
Ω |
0.28716842879602 |
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 |
121200bk1 60600z1 |
Quadratic twists by: -4 5 |