Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40368be |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1837440 |
Modular degree for the optimal curve |
Δ |
3.7767339555624E+19 |
Discriminant |
Eigenvalues |
2- 3+ -4 3 -2 -6 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1211320,-418987664] |
[a1,a2,a3,a4,a6] |
Generators |
[1402:25230:1] |
Generators of the group modulo torsion |
j |
95930521/18432 |
j-invariant |
L |
3.279677325891 |
L(r)(E,1)/r! |
Ω |
0.14582891684639 |
Real period |
R |
1.8741580869847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046g1 121104dc1 40368bm1 |
Quadratic twists by: -4 -3 29 |