Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
95400t |
Isogeny class |
Conductor |
95400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-104319900000000 = -1 · 28 · 39 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7425,425250] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:350:1] [9:702:1] |
Generators of the group modulo torsion |
j |
574992/1325 |
j-invariant |
L |
11.446008694638 |
L(r)(E,1)/r! |
Ω |
0.41489293106147 |
Real period |
R |
3.4484826802623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95400a1 19080a1 |
Quadratic twists by: -3 5 |