Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362v |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13540498110413316 = 22 · 34 · 72 · 318 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59602,-178789] |
[a1,a2,a3,a4,a6] |
Generators |
[14389099:477213927:12167] |
Generators of the group modulo torsion |
j |
26383748833/15256836 |
j-invariant |
L |
8.0198601554896 |
L(r)(E,1)/r! |
Ω |
0.33442736698125 |
Real period |
R |
11.990436410571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121086i2 1302n2 |
Quadratic twists by: -3 -31 |