Atkin-Lehner |
3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345m |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
635038078641435 = 32 · 5 · 7 · 1710 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-487260,130706322] |
[a1,a2,a3,a4,a6] |
j |
530044731605089/26309115 |
j-invariant |
L |
0.96738321014411 |
L(r)(E,1)/r! |
Ω |
0.48369160507357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91035h4 1785k4 |
Quadratic twists by: -3 17 |