Atkin-Lehner |
2+ 3+ 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890l |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
2.95193088E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29452197,-61532898291] |
[a1,a2,a3,a4,a6] |
Generators |
[-6881134:1840567:2197] |
Generators of the group modulo torsion |
j |
2825379731600075250793799641/29519308800000000000 |
j-invariant |
L |
4.5841038320146 |
L(r)(E,1)/r! |
Ω |
0.064806773622562 |
Real period |
R |
3.2152249580312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670bn1 |
Quadratic twists by: -3 |