Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840ch |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-27518400000000 = -1 · 212 · 33 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2400,-247500] |
[a1,a2,a3,a4,a6] |
Generators |
[90:840:1] |
Generators of the group modulo torsion |
j |
373092501599/6718359375 |
j-invariant |
L |
6.46887389672 |
L(r)(E,1)/r! |
Ω |
0.32450562067501 |
Real period |
R |
0.41530314914525 |
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 |
1365b1 87360dy1 65520cu1 109200dt1 |
Quadratic twists by: -4 8 -3 5 |