Atkin-Lehner |
2+ 3- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954s |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40642560 |
Modular degree for the optimal curve |
Δ |
-2.1176988163729E+25 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -2 6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49350030,176682148612] |
[a1,a2,a3,a4,a6] |
Generators |
[22205:3484761:1] |
Generators of the group modulo torsion |
j |
112979005552983862858103/180001429368115993344 |
j-invariant |
L |
4.5026925834092 |
L(r)(E,1)/r! |
Ω |
0.04642092332496 |
Real period |
R |
8.0830874198793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422h1 |
Quadratic twists by: -7 |