Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800r |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-4889257200000000 = -1 · 210 · 312 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26925,-2902750] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1152:1] [185:2900:1] |
Generators of the group modulo torsion |
j |
185073116/419175 |
j-invariant |
L |
11.390845110714 |
L(r)(E,1)/r! |
Ω |
0.22429370861664 |
Real period |
R |
6.3481746663566 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41400by1 27600h1 16560o1 |
Quadratic twists by: -4 -3 5 |