Atkin-Lehner |
2+ 3+ 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010d |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
-20010 = -1 · 2 · 3 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2,6] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
-1771561/20010 |
j-invariant |
L |
3.7120537961093 |
L(r)(E,1)/r! |
Ω |
3.2725286419706 |
Real period |
R |
1.1343075041427 |
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 |
60030bd1 100050cd1 |
Quadratic twists by: -3 5 |