Atkin-Lehner |
2- 3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558p |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
-1.7503917015396E+26 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2090641,-636538138315] |
[a1,a2,a3,a4,a6] |
Generators |
[15661:1791512:1] |
Generators of the group modulo torsion |
j |
1010559964403977354667663/175039170153957612660987648 |
j-invariant |
L |
5.4253190538934 |
L(r)(E,1)/r! |
Ω |
0.026261327492349 |
Real period |
R |
1.0759878791578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464bp3 37674i3 87906bp3 |
Quadratic twists by: -4 -3 -7 |