Atkin-Lehner |
2+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49610k |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
-2.1983477679931E+25 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 11- 0 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75140398,-337258883744] |
[a1,a2,a3,a4,a6] |
Generators |
[21020:2704427:1] |
Generators of the group modulo torsion |
j |
-26484273620628486652081/12409100042240000000 |
j-invariant |
L |
6.2105736706524 |
L(r)(E,1)/r! |
Ω |
0.025075150553907 |
Real period |
R |
4.4228289287192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4510j1 |
Quadratic twists by: -11 |