Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600p |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-68685468750000 = -1 · 24 · 38 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18750,1065625] |
[a1,a2,a3,a4,a6] |
j |
-6400000/603 |
j-invariant |
L |
2.4119900530703 |
L(r)(E,1)/r! |
Ω |
0.60299756082228 |
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 |
40200bh1 120600cm1 |
Quadratic twists by: -3 5 |