Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bj |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
122080403128320 = 220 · 39 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-917985,338839137] |
[a1,a2,a3,a4,a6] |
Generators |
[793067:-2324736:1331] |
Generators of the group modulo torsion |
j |
326355561310674169/465699780 |
j-invariant |
L |
7.3760034521164 |
L(r)(E,1)/r! |
Ω |
0.49998043875498 |
Real period |
R |
7.3762920266334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gu1 2730p1 |
Quadratic twists by: -4 8 |