Atkin-Lehner |
2+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880c |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-1916600000 = -1 · 26 · 55 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -1 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281,2875] |
[a1,a2,a3,a4,a6] |
Generators |
[6:37:1] |
Generators of the group modulo torsion |
j |
-38477541376/29946875 |
j-invariant |
L |
3.0941487548115 |
L(r)(E,1)/r! |
Ω |
1.358288062693 |
Real period |
R |
1.1389884226781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880bc1 1295b1 |
Quadratic twists by: -4 8 |