Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850ee |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
23592960 |
Modular degree for the optimal curve |
Δ |
-5.8339313300558E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37335830,-145643722203] |
[a1,a2,a3,a4,a6] |
Generators |
[17129:2050635:1] |
Generators of the group modulo torsion |
j |
-505304979693115442833/512169554353324032 |
j-invariant |
L |
8.4802258454658 |
L(r)(E,1)/r! |
Ω |
0.029342518852736 |
Real period |
R |
2.2578758260651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37950j1 4554k1 |
Quadratic twists by: -3 5 |