Atkin-Lehner |
2+ 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
108560d |
Isogeny class |
Conductor |
108560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-32025200 = -1 · 24 · 52 · 23 · 592 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 -2 -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2916,61591] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:295:1] [31:5:1] |
Generators of the group modulo torsion |
j |
-171441206719744/2001575 |
j-invariant |
L |
7.2775261157441 |
L(r)(E,1)/r! |
Ω |
1.8886408997381 |
Real period |
R |
0.96332845933677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54280b1 |
Quadratic twists by: -4 |