Atkin-Lehner |
2- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
62320be |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1994240000 = -1 · 212 · 54 · 19 · 41 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -2 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,315,-83] |
[a1,a2,a3,a4,a6] |
Generators |
[4:35:1] |
Generators of the group modulo torsion |
j |
841232384/486875 |
j-invariant |
L |
6.2443638201022 |
L(r)(E,1)/r! |
Ω |
0.88160821296486 |
Real period |
R |
1.7707309573209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3895e1 |
Quadratic twists by: -4 |