Atkin-Lehner |
2- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650bc |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-57820000 = -1 · 25 · 54 · 72 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 3 7 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-413,3217] |
[a1,a2,a3,a4,a6] |
Generators |
[22:59:1] |
Generators of the group modulo torsion |
j |
-12466931425/92512 |
j-invariant |
L |
5.767956323421 |
L(r)(E,1)/r! |
Ω |
1.9908207909409 |
Real period |
R |
0.096575850350567 |
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 |
20650g1 |
Quadratic twists by: 5 |