Atkin-Lehner |
2+ 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350i |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2933085937500 = -1 · 22 · 36 · 510 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3867,-122959] |
[a1,a2,a3,a4,a6] |
j |
-898425/412 |
j-invariant |
L |
1.1846502149452 |
L(r)(E,1)/r! |
Ω |
0.29616255377905 |
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 |
5150j1 46350cm1 |
Quadratic twists by: -3 5 |