Atkin-Lehner |
2+ 3- 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
120510t |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
13197291120000 = 27 · 36 · 54 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 1 13- 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6669,-114075] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:-273:1] |
Generators of the group modulo torsion |
j |
45000254125009/18103280000 |
j-invariant |
L |
5.1507738227624 |
L(r)(E,1)/r! |
Ω |
0.54706301071835 |
Real period |
R |
0.39230503433634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000127877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390g1 |
Quadratic twists by: -3 |