Atkin-Lehner |
2+ 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462i |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
1266407718912 = 214 · 32 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6346,184276] |
[a1,a2,a3,a4,a6] |
Generators |
[36:46:1] |
Generators of the group modulo torsion |
j |
240293820313/10764288 |
j-invariant |
L |
2.3928078145944 |
L(r)(E,1)/r! |
Ω |
0.8518779021015 |
Real period |
R |
1.4044312035161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64386ce1 438e1 |
Quadratic twists by: -3 -7 |