Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74025u |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-5902337109375 = -1 · 38 · 58 · 72 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -6 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3933,67216] |
[a1,a2,a3,a4,a6] |
j |
590589719/518175 |
j-invariant |
L |
1.9715172578905 |
L(r)(E,1)/r! |
Ω |
0.49287931450901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24675e1 14805d1 |
Quadratic twists by: -3 5 |