Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230cp |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-114404316468750 = -1 · 2 · 36 · 56 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7056,-463050] |
[a1,a2,a3,a4,a6] |
Generators |
[398:571:8] |
Generators of the group modulo torsion |
j |
3639707951/10718750 |
j-invariant |
L |
5.8816267293328 |
L(r)(E,1)/r! |
Ω |
0.30331148441766 |
Real period |
R |
3.2318958290713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001598 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8470x2 76230eq2 |
Quadratic twists by: -3 -11 |