Atkin-Lehner |
2+ 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
55550l |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
634752 |
Modular degree for the optimal curve |
Δ |
-911172681334784000 = -1 · 229 · 53 · 113 · 1012 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 11- 2 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,56759,45634828] |
[a1,a2,a3,a4,a6] |
Generators |
[-304:707:1] |
Generators of the group modulo torsion |
j |
161781517249139971/7289381450678272 |
j-invariant |
L |
6.2528655633768 |
L(r)(E,1)/r! |
Ω |
0.21221639721109 |
Real period |
R |
2.4553810974975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55550w1 |
Quadratic twists by: 5 |