Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800cg |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-18351360000000 = -1 · 214 · 35 · 57 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 -3 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6592,-4812] |
[a1,a2,a3,a4,a6] |
Generators |
[28:450:1] |
Generators of the group modulo torsion |
j |
494913671/286740 |
j-invariant |
L |
8.9325868478214 |
L(r)(E,1)/r! |
Ω |
0.40965703514555 |
Real period |
R |
0.54512592737602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850v1 14160l1 |
Quadratic twists by: -4 5 |