Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352x |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
24857127419904 = 222 · 32 · 13 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-877729,-316803649] |
[a1,a2,a3,a4,a6] |
Generators |
[-37307950:-620379:68921] |
Generators of the group modulo torsion |
j |
285276257074764073/94822416 |
j-invariant |
L |
7.8068065818477 |
L(r)(E,1)/r! |
Ω |
0.15597658596104 |
Real period |
R |
8.3418573605646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352br1 2886a1 |
Quadratic twists by: -4 8 |