Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850w |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-152098414200 = -1 · 23 · 315 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,648,17496] |
[a1,a2,a3,a4,a6] |
Generators |
[3:138:1] |
Generators of the group modulo torsion |
j |
1649696855/8345592 |
j-invariant |
L |
3.918527295392 |
L(r)(E,1)/r! |
Ω |
0.73910149652014 |
Real period |
R |
2.6508722508622 |
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 |
7950bo1 23850cw1 |
Quadratic twists by: -3 5 |