Atkin-Lehner |
2+ 3+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12654a |
Isogeny class |
Conductor |
12654 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32736 |
Modular degree for the optimal curve |
Δ |
-53217257472 = -1 · 211 · 33 · 19 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 -2 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23745,1414333] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-37:1] |
Generators of the group modulo torsion |
j |
-54838650358603467/1971009536 |
j-invariant |
L |
4.5190856210008 |
L(r)(E,1)/r! |
Ω |
1.0492302444797 |
Real period |
R |
2.1535242835292 |
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 |
101232p1 12654j1 |
Quadratic twists by: -4 -3 |