Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362l |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15546497830474548 = 22 · 3 · 72 · 319 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1910968,-1017561860] |
[a1,a2,a3,a4,a6] |
Generators |
[-9434117599725:4907849760094:11774546875] |
Generators of the group modulo torsion |
j |
29189662039/588 |
j-invariant |
L |
5.1868761594453 |
L(r)(E,1)/r! |
Ω |
0.12840640770676 |
Real period |
R |
20.197107963988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086br2 40362u2 |
Quadratic twists by: -3 -31 |