Atkin-Lehner |
2+ 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20010h |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2423291040 = -1 · 25 · 33 · 5 · 23 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-784,8702] |
[a1,a2,a3,a4,a6] |
Generators |
[300:5026:1] |
Generators of the group modulo torsion |
j |
-53195556657529/2423291040 |
j-invariant |
L |
4.9826623793832 |
L(r)(E,1)/r! |
Ω |
1.4365952850723 |
Real period |
R |
3.4683828014461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
60030bp1 100050bv1 |
Quadratic twists by: -3 5 |