Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40200bg |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-2412000000 = -1 · 28 · 32 · 56 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,6363] |
[a1,a2,a3,a4,a6] |
Generators |
[33:150:1] |
Generators of the group modulo torsion |
j |
-7023616/603 |
j-invariant |
L |
7.9897390963527 |
L(r)(E,1)/r! |
Ω |
1.4203649610137 |
Real period |
R |
0.70314138581093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400l1 120600o1 1608a1 |
Quadratic twists by: -4 -3 5 |