Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680m |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
991075176000 = 26 · 34 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43646,-3523920] |
[a1,a2,a3,a4,a6] |
Generators |
[241:114:1] |
Generators of the group modulo torsion |
j |
143676927944065216/15485549625 |
j-invariant |
L |
6.6953453989657 |
L(r)(E,1)/r! |
Ω |
0.33030520855397 |
Real period |
R |
5.0675445206193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680c1 87360ey1 |
Quadratic twists by: -4 8 |