Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610ci |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
72990720 |
Modular degree for the optimal curve |
Δ |
-3.8464930911797E+29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-108443777,-29842574204271] |
[a1,a2,a3,a4,a6] |
Generators |
[53228197:-7289641764:1331] |
Generators of the group modulo torsion |
j |
-1306902141891515161/3564268498800000000 |
j-invariant |
L |
11.143630837647 |
L(r)(E,1)/r! |
Ω |
0.013630711909934 |
Real period |
R |
5.1096151980564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870c1 2070o1 |
Quadratic twists by: -3 -23 |