Atkin-Lehner |
2+ 3+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950a |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-474123375000000 = -1 · 26 · 36 · 59 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17000,1344000] |
[a1,a2,a3,a4,a6] |
Generators |
[56:728:1] |
Generators of the group modulo torsion |
j |
-34776859950721/30343896000 |
j-invariant |
L |
4.4424664423647 |
L(r)(E,1)/r! |
Ω |
0.48071848703285 |
Real period |
R |
2.3103263977763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190o1 |
Quadratic twists by: 5 |