Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160cv |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
6881280 |
Modular degree for the optimal curve |
Δ |
-4.3595976889923E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61139960,-184302029100] |
[a1,a2,a3,a4,a6] |
Generators |
[20860:2760030:1] |
Generators of the group modulo torsion |
j |
-6170768047181777430174841/10643549045391360000 |
j-invariant |
L |
8.6144016764672 |
L(r)(E,1)/r! |
Ω |
0.026992516449142 |
Real period |
R |
5.6989351716097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770g1 |
Quadratic twists by: -4 |