Atkin-Lehner |
3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74025o |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-161892675 = -1 · 39 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -5 5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,661] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:219:8] |
Generators of the group modulo torsion |
j |
-2560000/8883 |
j-invariant |
L |
13.337043186378 |
L(r)(E,1)/r! |
Ω |
1.5920368822187 |
Real period |
R |
4.1886728051229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24675m1 74025bl1 |
Quadratic twists by: -3 5 |