Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800bl |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2995200 |
Modular degree for the optimal curve |
Δ |
-235162642500000000 = -1 · 28 · 313 · 510 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18477708,30577916412] |
[a1,a2,a3,a4,a6] |
Generators |
[13860384146033:5840609184716:5611284433] |
Generators of the group modulo torsion |
j |
-279079557819422800/94065057 |
j-invariant |
L |
5.1191990124004 |
L(r)(E,1)/r! |
Ω |
0.25277188957881 |
Real period |
R |
20.252248068132 |
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 |
17700p1 70800dh1 |
Quadratic twists by: -4 5 |