Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ev |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-21635891200 = -1 · 215 · 52 · 74 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66753,6616063] |
[a1,a2,a3,a4,a6] |
Generators |
[167:392:1] |
Generators of the group modulo torsion |
j |
-40156202887880/26411 |
j-invariant |
L |
3.1935455128093 |
L(r)(E,1)/r! |
Ω |
0.99943117882755 |
Real period |
R |
0.39942038978506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999521663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200fp1 61600bd1 123200hs1 |
Quadratic twists by: -4 8 5 |