Atkin-Lehner |
3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
825a |
Isogeny class |
Conductor |
825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72 |
Modular degree for the optimal curve |
Δ |
-81675 = -1 · 33 · 52 · 112 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11+ 1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-23,53] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
-56197120/3267 |
j-invariant |
L |
1.8040304299532 |
L(r)(E,1)/r! |
Ω |
3.3747765339753 |
Real period |
R |
0.26728146468236 |
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 |
13200ch1 52800cs1 2475i1 825c1 |
Quadratic twists by: -4 8 -3 5 |