Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230ei |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
-1890980437500000 = -1 · 25 · 36 · 59 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14233,-1991041] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1066:1] |
Generators of the group modulo torsion |
j |
3615170357711/21437500000 |
j-invariant |
L |
10.899274540249 |
L(r)(E,1)/r! |
Ω |
0.23438277890949 |
Real period |
R |
0.51668919952026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470e2 76230ck2 |
Quadratic twists by: -3 -11 |