Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200r |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3091200 |
Modular degree for the optimal curve |
Δ |
-2.4124189574419E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 3 -2 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65110583,-202199080338] |
[a1,a2,a3,a4,a6] |
Generators |
[230142941072092340870136744151278165378:18791510552965020636193444426372551386194:17813979586986945852663933214944033] |
Generators of the group modulo torsion |
j |
-4884256392300674897920/3859870331907 |
j-invariant |
L |
4.9707624043203 |
L(r)(E,1)/r! |
Ω |
0.026573982327945 |
Real period |
R |
62.351241940042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600bl1 49200be1 |
Quadratic twists by: -4 5 |