Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624bs |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
658944 |
Modular degree for the optimal curve |
Δ |
-3070384330460928 = -1 · 28 · 3 · 1310 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -1 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123764,-17010720] |
[a1,a2,a3,a4,a6] |
Generators |
[1383788382:18259687198:2803221] |
Generators of the group modulo torsion |
j |
-5940688/87 |
j-invariant |
L |
7.9238477935507 |
L(r)(E,1)/r! |
Ω |
0.12715767041629 |
Real period |
R |
15.578784529926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624n1 |
Quadratic twists by: 13 |