Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3870f |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-3209932800000 = -1 · 215 · 36 · 55 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 2 -5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12735,-556659] |
[a1,a2,a3,a4,a6] |
j |
-313337384670961/4403200000 |
j-invariant |
L |
0.4490402340796 |
L(r)(E,1)/r! |
Ω |
0.2245201170398 |
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 |
30960bs1 123840dl1 430d1 19350cl1 |
Quadratic twists by: -4 8 -3 5 |