Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878i |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.8575724849097E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2976783,-2864179171] |
[a1,a2,a3,a4,a6] |
Generators |
[288362670:3909678827:132651] |
Generators of the group modulo torsion |
j |
-4001637980024799157233/2548110404539996912 |
j-invariant |
L |
3.1420566162704 |
L(r)(E,1)/r! |
Ω |
0.055863086185377 |
Real period |
R |
14.061417077118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542k1 |
Quadratic twists by: -3 |