Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210c |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-205052854607280000 = -1 · 27 · 33 · 54 · 377 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 1 1 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,141435,7415381] |
[a1,a2,a3,a4,a6] |
Generators |
[361:10087:1] |
Generators of the group modulo torsion |
j |
4516672077/2960000 |
j-invariant |
L |
4.4160432637621 |
L(r)(E,1)/r! |
Ω |
0.19834189784935 |
Real period |
R |
1.3915501729274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210cn1 3330p1 |
Quadratic twists by: -3 37 |