Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9150a |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-49410000000 = -1 · 27 · 34 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,475,10125] |
[a1,a2,a3,a4,a6] |
Generators |
[5:110:1] |
Generators of the group modulo torsion |
j |
756058031/3162240 |
j-invariant |
L |
3.082213524429 |
L(r)(E,1)/r! |
Ω |
0.80603001028542 |
Real period |
R |
0.47799298492273 |
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 |
73200cm1 27450bp1 1830j1 |
Quadratic twists by: -4 -3 5 |