Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
825b |
Isogeny class |
Conductor |
825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
4640625 = 33 · 56 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-163,-808] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:5:1] |
Generators of the group modulo torsion |
j |
30664297/297 |
j-invariant |
L |
1.7134165817794 |
L(r)(E,1)/r! |
Ω |
1.3368809092796 |
Real period |
R |
0.85443491133534 |
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 |
13200bm1 52800v1 2475g1 33a2 |
Quadratic twists by: -4 8 -3 5 |