Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15450b |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-5932800 = -1 · 28 · 32 · 52 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -2 1 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,45,45] |
[a1,a2,a3,a4,a6] |
Generators |
[6:21:1] |
Generators of the group modulo torsion |
j |
389272415/237312 |
j-invariant |
L |
2.8137858143819 |
L(r)(E,1)/r! |
Ω |
1.4736686653319 |
Real period |
R |
0.47734370021166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600cc1 46350br1 15450bh1 |
Quadratic twists by: -4 -3 5 |