Atkin-Lehner |
2- 3- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402p |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
114382386770241618 = 2 · 36 · 710 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-125435,5285593] |
[a1,a2,a3,a4,a6] |
Generators |
[2356:52979:64] |
Generators of the group modulo torsion |
j |
299398169206571625/156903136859042 |
j-invariant |
L |
8.804214433497 |
L(r)(E,1)/r! |
Ω |
0.29227538257149 |
Real period |
R |
7.530752637844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378e2 |
Quadratic twists by: -3 |