Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600cp |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-2980800000000 = -1 · 212 · 34 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3592,7188] |
[a1,a2,a3,a4,a6] |
Generators |
[22:312:1] |
Generators of the group modulo torsion |
j |
80062991/46575 |
j-invariant |
L |
8.0396939926806 |
L(r)(E,1)/r! |
Ω |
0.48338425705822 |
Real period |
R |
2.0790121614656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1725d1 110400ga1 82800er1 5520p1 |
Quadratic twists by: -4 8 -3 5 |