Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450j |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-195349708800000000 = -1 · 228 · 34 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-112276,-25736302] |
[a1,a2,a3,a4,a6] |
Generators |
[4642:313091:1] |
Generators of the group modulo torsion |
j |
-10017490085065009/12502381363200 |
j-invariant |
L |
3.0162633344312 |
L(r)(E,1)/r! |
Ω |
0.12453322966984 |
Real period |
R |
6.0551375372415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27600bg1 110400w1 10350bh1 690g1 |
Quadratic twists by: -4 8 -3 5 |