Atkin-Lehner |
3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345n |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
10947456 |
Modular degree for the optimal curve |
Δ |
5.3178237542483E+25 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ -3 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-172916310,801842354381] |
[a1,a2,a3,a4,a6] |
j |
283623608680689664/26378173828125 |
j-invariant |
L |
3.1920133010204 |
L(r)(E,1)/r! |
Ω |
0.061384871173514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91035p1 30345bb1 |
Quadratic twists by: -3 17 |