Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800o |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3793920 |
Modular degree for the optimal curve |
Δ |
-8.18232072768E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11+ 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12320833,-17201350463] |
[a1,a2,a3,a4,a6] |
Generators |
[3238077056702235:174430780404812272:574892655875] |
Generators of the group modulo torsion |
j |
-323194518662500/12784876137 |
j-invariant |
L |
4.0622780115527 |
L(r)(E,1)/r! |
Ω |
0.040197924862223 |
Real period |
R |
25.264227105479 |
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 |
52800hb1 6600bd1 52800dp1 |
Quadratic twists by: -4 8 5 |