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 |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
21299724288 = 220 · 32 · 37 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-764,3792] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:68:1] |
Generators of the group modulo torsion |
j |
49418741980873/21299724288 |
j-invariant |
L |
3.0920984341417 |
L(r)(E,1)/r! |
Ω |
1.0914309078051 |
Real period |
R |
2.8330684169097 |
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 |
108336v1 40626m1 |
Quadratic twists by: -4 -3 |