Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800x |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-154127932873200 = -1 · 24 · 32 · 52 · 117 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-215248,-38514127] |
[a1,a2,a3,a4,a6] |
Generators |
[70120:524043:125] |
Generators of the group modulo torsion |
j |
-2757294236281534720/385319832183 |
j-invariant |
L |
9.7525959106173 |
L(r)(E,1)/r! |
Ω |
0.11082327205285 |
Real period |
R |
7.3334445985988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800cc1 |
Quadratic twists by: 5 |