Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850bg |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-106823577600000000 = -1 · 218 · 39 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-185292,-34446384] |
[a1,a2,a3,a4,a6] |
Generators |
[879:21498:1] |
Generators of the group modulo torsion |
j |
-61765716432889/9378201600 |
j-invariant |
L |
2.4611133031472 |
L(r)(E,1)/r! |
Ω |
0.11409906186118 |
Real period |
R |
2.6962462081212 |
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 |
7950br1 4770be1 |
Quadratic twists by: -3 5 |