Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450l |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-204162816000000 = -1 · 214 · 3 · 56 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 13- 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8300,-750000] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1700:1] |
Generators of the group modulo torsion |
j |
-4047806261953/13066420224 |
j-invariant |
L |
2.6818561517515 |
L(r)(E,1)/r! |
Ω |
0.2304379043075 |
Real period |
R |
0.9698405013601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350eb1 858l1 |
Quadratic twists by: -3 5 |