Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200dz |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-8007980613120000 = -1 · 212 · 33 · 54 · 415 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47867,-1497037] |
[a1,a2,a3,a4,a6] |
Generators |
[38:615:1] |
Generators of the group modulo torsion |
j |
4737871769600/3128117427 |
j-invariant |
L |
7.0263351689023 |
L(r)(E,1)/r! |
Ω |
0.23656809204857 |
Real period |
R |
0.66002468963328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3075g1 49200bv2 |
Quadratic twists by: -4 5 |