Atkin-Lehner |
2+ 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920a |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
187440777427200 = 28 · 3 · 52 · 11 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39996,3020820] |
[a1,a2,a3,a4,a6] |
Generators |
[94:288:1] |
Generators of the group modulo torsion |
j |
27640397496938704/732190536825 |
j-invariant |
L |
4.4926187950994 |
L(r)(E,1)/r! |
Ω |
0.56608128246828 |
Real period |
R |
3.9681746546299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840w1 122760cb1 |
Quadratic twists by: -4 -3 |