Atkin-Lehner |
2+ 3+ 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13542b |
Isogeny class |
Conductor |
13542 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32925260448 = 25 · 32 · 374 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-93724,-11083088] |
[a1,a2,a3,a4,a6] |
Generators |
[-151875455:77421724:857375] |
Generators of the group modulo torsion |
j |
91050722940512223433/32925260448 |
j-invariant |
L |
3.0920984341417 |
L(r)(E,1)/r! |
Ω |
0.27285772695127 |
Real period |
R |
11.332273667639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108336v4 40626m4 |
Quadratic twists by: -4 -3 |