Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680be |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
110119464000 = 26 · 32 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4646,-119304] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:24:1] |
Generators of the group modulo torsion |
j |
173330435521216/1720616625 |
j-invariant |
L |
3.1481213158963 |
L(r)(E,1)/r! |
Ω |
0.57860512224721 |
Real period |
R |
2.7204402405478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bz1 87360gt1 |
Quadratic twists by: -4 8 |