Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446ci |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-195790102953984 = -1 · 215 · 35 · 76 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3674,-666205] |
[a1,a2,a3,a4,a6] |
Generators |
[97:735:1] |
Generators of the group modulo torsion |
j |
46617130799/1664188416 |
j-invariant |
L |
6.820207057454 |
L(r)(E,1)/r! |
Ω |
0.27221146081957 |
Real period |
R |
0.83516041009371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1254k1 |
Quadratic twists by: -7 |