Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110bm |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-148692459435520 = -1 · 29 · 5 · 75 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- 13- 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8742,-494452] |
[a1,a2,a3,a4,a6] |
Generators |
[52:292:1] |
Generators of the group modulo torsion |
j |
610720024441439/1228863301120 |
j-invariant |
L |
3.5564364400461 |
L(r)(E,1)/r! |
Ω |
0.30173323197871 |
Real period |
R |
0.58933455780774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110cj1 |
Quadratic twists by: -11 |