Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386o |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
1196481750304555008 = 218 · 312 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-413667,-87744875] |
[a1,a2,a3,a4,a6] |
Generators |
[123377:43273838:1] |
Generators of the group modulo torsion |
j |
91276959390625/13950517248 |
j-invariant |
L |
5.3506123029429 |
L(r)(E,1)/r! |
Ω |
0.19018342684203 |
Real period |
R |
7.0334891844194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21462y1 1314a1 |
Quadratic twists by: -3 -7 |