Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280fn |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
58355268728400 = 24 · 311 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-249312,-47912641] |
[a1,a2,a3,a4,a6] |
Generators |
[30205:5248782:1] |
Generators of the group modulo torsion |
j |
1248870793216/42525 |
j-invariant |
L |
5.8065329722212 |
L(r)(E,1)/r! |
Ω |
0.21365578004595 |
Real period |
R |
6.7942615114049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8820y1 11760bn1 5040be1 |
Quadratic twists by: -4 -3 -7 |