Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23940q |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
155232 |
Modular degree for the optimal curve |
Δ |
-59386162500000000 = -1 · 28 · 36 · 511 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,97353,880686] |
[a1,a2,a3,a4,a6] |
Generators |
[7:1250:1] |
Generators of the group modulo torsion |
j |
546769443677616/318212890625 |
j-invariant |
L |
5.2166880962078 |
L(r)(E,1)/r! |
Ω |
0.21192698192113 |
Real period |
R |
0.74592416703066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760fd1 2660a1 119700bl1 |
Quadratic twists by: -4 -3 5 |