Atkin-Lehner |
2+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12650c |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-5353480000000 = -1 · 29 · 57 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 11+ -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4400,-160000] |
[a1,a2,a3,a4,a6] |
Generators |
[195475:4540150:343] |
Generators of the group modulo torsion |
j |
-603136942849/342622720 |
j-invariant |
L |
4.9678900666423 |
L(r)(E,1)/r! |
Ω |
0.28558244183229 |
Real period |
R |
8.6978212574422 |
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 |
101200bx1 113850fa1 2530f1 |
Quadratic twists by: -4 -3 5 |