Atkin-Lehner |
3+ 7+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30303c |
Isogeny class |
Conductor |
30303 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-734923537803 = -1 · 33 · 76 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 6 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1911,-26316] |
[a1,a2,a3,a4,a6] |
j |
28576837742517/27219390289 |
j-invariant |
L |
1.9683945554627 |
L(r)(E,1)/r! |
Ω |
0.49209863886597 |
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 |
30303d2 |
Quadratic twists by: -3 |