Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40898w |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8611200 |
Modular degree for the optimal curve |
Δ |
-1.7335200421861E+24 |
Discriminant |
Eigenvalues |
2+ 0 3 1 11- 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78139463,273322591933] |
[a1,a2,a3,a4,a6] |
Generators |
[11859470217:-209713798195:2352637] |
Generators of the group modulo torsion |
j |
-2808592297029/92274688 |
j-invariant |
L |
4.7980426048263 |
L(r)(E,1)/r! |
Ω |
0.083462867111126 |
Real period |
R |
14.371788230202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718s1 40898bz1 |
Quadratic twists by: -11 13 |