Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21300h |
Isogeny class |
Conductor |
21300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-927705312000 = -1 · 28 · 34 · 53 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 2 3 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-442413,113411097] |
[a1,a2,a3,a4,a6] |
Generators |
[387:90:1] |
Generators of the group modulo torsion |
j |
-299266672793526272/28990791 |
j-invariant |
L |
4.5792324695751 |
L(r)(E,1)/r! |
Ω |
0.67932431751443 |
Real period |
R |
0.56173862168539 |
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 |
85200dw1 63900w1 21300n1 |
Quadratic twists by: -4 -3 5 |