Atkin-Lehner |
2+ 3- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310w |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
111083520 |
Modular degree for the optimal curve |
Δ |
1.5022541693273E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2580587109,50112389249685] |
[a1,a2,a3,a4,a6] |
Generators |
[10808998780152991441077730:460327825976598604719994895:312628354284954149317] |
Generators of the group modulo torsion |
j |
2607064370281542204675937831249/20607053077192316098279680 |
j-invariant |
L |
3.1809171910571 |
L(r)(E,1)/r! |
Ω |
0.039604653260982 |
Real period |
R |
40.158376911393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34770z1 |
Quadratic twists by: -3 |