Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10032b |
Isogeny class |
Conductor |
10032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
12198912 = 210 · 3 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3968,-94896] |
[a1,a2,a3,a4,a6] |
Generators |
[85:418:1] |
Generators of the group modulo torsion |
j |
6749136170500/11913 |
j-invariant |
L |
3.9987303392832 |
L(r)(E,1)/r! |
Ω |
0.60151652713339 |
Real period |
R |
3.3238740407847 |
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 |
5016c1 40128bq1 30096d1 110352f1 |
Quadratic twists by: -4 8 -3 -11 |