Atkin-Lehner |
2+ 11+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12298a |
Isogeny class |
Conductor |
12298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
226560 |
Modular degree for the optimal curve |
Δ |
-22353922140144452 = -1 · 22 · 113 · 134 · 435 |
Discriminant |
Eigenvalues |
2+ -1 4 -4 11+ 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,40532,6488420] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:900:1] |
Generators of the group modulo torsion |
j |
7363784526099467831/22353922140144452 |
j-invariant |
L |
2.9572313428845 |
L(r)(E,1)/r! |
Ω |
0.26873881710993 |
Real period |
R |
2.7510273494234 |
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 |
98384n1 110682br1 |
Quadratic twists by: -4 -3 |