Atkin-Lehner |
2+ 3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10074f |
Isogeny class |
Conductor |
10074 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
364435734528 = 220 · 32 · 232 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 0 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1828,7120] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:190:1] |
Generators of the group modulo torsion |
j |
676119482977609/364435734528 |
j-invariant |
L |
3.3091293007597 |
L(r)(E,1)/r! |
Ω |
0.83432179125491 |
Real period |
R |
1.9831252973642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592bf1 30222o1 |
Quadratic twists by: -4 -3 |