Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520bc |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-453427200000 = -1 · 217 · 33 · 55 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -4 0 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-343347,77436914] |
[a1,a2,a3,a4,a6] |
Generators |
[343:150:1] |
Generators of the group modulo torsion |
j |
-40476203551642923/4100000 |
j-invariant |
L |
5.2210663510382 |
L(r)(E,1)/r! |
Ω |
0.72236962841134 |
Real period |
R |
0.36138468075689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3690b1 118080db1 29520z1 |
Quadratic twists by: -4 8 -3 |