Atkin-Lehner |
2+ 3- 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746t |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
54987373584 = 24 · 310 · 112 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1537,-20380] |
[a1,a2,a3,a4,a6] |
Generators |
[79:554:1] [-178:517:8] |
Generators of the group modulo torsion |
j |
401179812928777/54987373584 |
j-invariant |
L |
6.5237076426473 |
L(r)(E,1)/r! |
Ω |
0.76947471993888 |
Real period |
R |
0.84781312154939 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238cd1 |
Quadratic twists by: -3 |