Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280bm |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-5581940630561280 = -1 · 29 · 316 · 5 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37803,-4574338] |
[a1,a2,a3,a4,a6] |
Generators |
[161557:64936422:1] |
Generators of the group modulo torsion |
j |
-16006818542408/14955044985 |
j-invariant |
L |
6.7274522156852 |
L(r)(E,1)/r! |
Ω |
0.16486245846451 |
Real period |
R |
10.201613330282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53280m1 106560dh1 17760g1 |
Quadratic twists by: -4 8 -3 |