Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810p |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
1.0811061087744E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14083017,-12794033979] |
[a1,a2,a3,a4,a6] |
Generators |
[7307:520279:1] |
Generators of the group modulo torsion |
j |
2625564132023811051529/918925030195200000 |
j-invariant |
L |
3.9534185523748 |
L(r)(E,1)/r! |
Ω |
0.080172456921611 |
Real period |
R |
4.9311430685483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430eb1 4830h1 |
Quadratic twists by: -3 -7 |