Atkin-Lehner |
2+ 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
54280d |
Isogeny class |
Conductor |
54280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-32025200 = -1 · 24 · 52 · 23 · 592 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 0 3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4,-271] |
[a1,a2,a3,a4,a6] |
Generators |
[44:295:1] |
Generators of the group modulo torsion |
j |
340736/2001575 |
j-invariant |
L |
5.3185614356179 |
L(r)(E,1)/r! |
Ω |
0.96249802439355 |
Real period |
R |
0.69072368212689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108560b1 |
Quadratic twists by: -4 |