Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448c |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-385938432 = -1 · 210 · 36 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11+ 5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57555,5314626] |
[a1,a2,a3,a4,a6] |
Generators |
[139:10:1] |
Generators of the group modulo torsion |
j |
-28245248626500/517 |
j-invariant |
L |
6.1462994296477 |
L(r)(E,1)/r! |
Ω |
1.212874767817 |
Real period |
R |
1.2668866550449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37224b1 8272c1 |
Quadratic twists by: -4 -3 |