Atkin-Lehner |
3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29925bh |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-3067780078125 = -1 · 310 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 2 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23742,1416541] |
[a1,a2,a3,a4,a6] |
Generators |
[44:653:1] |
Generators of the group modulo torsion |
j |
-5197545985/10773 |
j-invariant |
L |
6.1928092466545 |
L(r)(E,1)/r! |
Ω |
0.80106045884354 |
Real period |
R |
1.2884606436978 |
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 |
9975f1 29925bb1 |
Quadratic twists by: -3 5 |