Atkin-Lehner |
3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21801h |
Isogeny class |
Conductor |
21801 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-3132594214191 = -1 · 33 · 137 · 432 |
Discriminant |
Eigenvalues |
1 3- -2 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1187,-86695] |
[a1,a2,a3,a4,a6] |
Generators |
[1209:41419:1] |
Generators of the group modulo torsion |
j |
-38272753/648999 |
j-invariant |
L |
6.5768962182001 |
L(r)(E,1)/r! |
Ω |
0.34311825022451 |
Real period |
R |
6.3893387715914 |
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 |
65403m1 1677b1 |
Quadratic twists by: -3 13 |