Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362i |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7737427491664752 = 24 · 34 · 7 · 318 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 6 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-568451,-165146211] |
[a1,a2,a3,a4,a6] |
Generators |
[23727:-116132:27] |
Generators of the group modulo torsion |
j |
22889370414457/8718192 |
j-invariant |
L |
2.9401672152006 |
L(r)(E,1)/r! |
Ω |
0.1738745919655 |
Real period |
R |
4.2274250394604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086bn2 1302g2 |
Quadratic twists by: -3 -31 |