Atkin-Lehner |
2+ 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450j |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-275425312500 = -1 · 22 · 37 · 57 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 3 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54125,-4869375] |
[a1,a2,a3,a4,a6] |
j |
-1122302554698961/17627220 |
j-invariant |
L |
1.2520123513229 |
L(r)(E,1)/r! |
Ω |
0.15650154439726 |
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 |
12090bf1 |
Quadratic twists by: 5 |