Atkin-Lehner |
3- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
92697c |
Isogeny class |
Conductor |
92697 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
412128 |
Modular degree for the optimal curve |
Δ |
-18491128052174217 = -1 · 33 · 11 · 538 |
Discriminant |
Eigenvalues |
-1 3- 0 0 11+ -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15508,6583241] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:2576:1] |
Generators of the group modulo torsion |
j |
-6625/297 |
j-invariant |
L |
4.8771858272973 |
L(r)(E,1)/r! |
Ω |
0.3215009461617 |
Real period |
R |
5.05668374308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92697a1 |
Quadratic twists by: 53 |