Atkin-Lehner |
2- 3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410bg |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-107625594240000 = -1 · 210 · 38 · 54 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2848,494979] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-879:1] [-43:561:1] |
Generators of the group modulo torsion |
j |
3505573612871/147634560000 |
j-invariant |
L |
16.662997905628 |
L(r)(E,1)/r! |
Ω |
0.45041919084602 |
Real period |
R |
0.46243028292371 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470f1 |
Quadratic twists by: -3 |