Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128bi |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
7195211071488 = 226 · 33 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-143297,-20830623] |
[a1,a2,a3,a4,a6] |
Generators |
[12937090:1470787777:1000] |
Generators of the group modulo torsion |
j |
1241361053832817/27447552 |
j-invariant |
L |
6.1922002831262 |
L(r)(E,1)/r! |
Ω |
0.24538081450716 |
Real period |
R |
12.617531438968 |
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 |
40128x1 10032q1 120384ds1 |
Quadratic twists by: -4 8 -3 |