Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
95400o |
Isogeny class |
Conductor |
95400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-3071641500000000 = -1 · 28 · 37 · 59 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78375,8856250] |
[a1,a2,a3,a4,a6] |
Generators |
[50:2250:1] |
Generators of the group modulo torsion |
j |
-146069264/8427 |
j-invariant |
L |
6.0438661288348 |
L(r)(E,1)/r! |
Ω |
0.44364021882137 |
Real period |
R |
1.7029187903743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31800bc1 95400bj1 |
Quadratic twists by: -3 5 |