Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
40200i |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-241200000000 = -1 · 210 · 32 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-23588] |
[a1,a2,a3,a4,a6] |
Generators |
[42:200:1] |
Generators of the group modulo torsion |
j |
-2500/603 |
j-invariant |
L |
4.9919237143915 |
L(r)(E,1)/r! |
Ω |
0.44160930736498 |
Real period |
R |
0.94199473590794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400bj1 120600ch1 40200bd1 |
Quadratic twists by: -4 -3 5 |