Atkin-Lehner |
2+ 3+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12210g |
Isogeny class |
Conductor |
12210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1259462476800 = 210 · 33 · 52 · 113 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18322,-960716] |
[a1,a2,a3,a4,a6] |
j |
680266970173241641/1259462476800 |
j-invariant |
L |
0.82078903254802 |
L(r)(E,1)/r! |
Ω |
0.41039451627401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680da1 36630bi1 61050cc1 |
Quadratic twists by: -4 -3 5 |