Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74025bf |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9604224 |
Modular degree for the optimal curve |
Δ |
-62720539314018075 = -1 · 327 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -4 5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-211228905,1181620821496] |
[a1,a2,a3,a4,a6] |
j |
-57189489280953805721251840/3441456203787 |
j-invariant |
L |
0.38373136208104 |
L(r)(E,1)/r! |
Ω |
0.19186570268639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24675f1 74025bh1 |
Quadratic twists by: -3 5 |