Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
76050cc |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1501512187500000 = -1 · 25 · 37 · 510 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16758,-1671084] |
[a1,a2,a3,a4,a6] |
Generators |
[75:21:1] |
Generators of the group modulo torsion |
j |
33275/96 |
j-invariant |
L |
5.0047102030241 |
L(r)(E,1)/r! |
Ω |
0.24494663993348 |
Real period |
R |
2.5539798204765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350dd2 76050gi1 76050fj2 |
Quadratic twists by: -3 5 13 |