Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42300j |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-2.458183002705E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1350825,-451503250] |
[a1,a2,a3,a4,a6] |
Generators |
[28915:4920750:1] |
Generators of the group modulo torsion |
j |
93483176565296/84299828625 |
j-invariant |
L |
6.1592247857926 |
L(r)(E,1)/r! |
Ω |
0.096330592199046 |
Real period |
R |
1.3320501837272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14100b1 8460k1 |
Quadratic twists by: -3 5 |