Atkin-Lehner |
2- 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
14260d |
Isogeny class |
Conductor |
14260 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-13119200000 = -1 · 28 · 55 · 232 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -6 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-832,10756] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-175:1] [-2499118308:2421371690:74618461] |
Generators of the group modulo torsion |
j |
-248801918976/51246875 |
j-invariant |
L |
4.3184131634862 |
L(r)(E,1)/r! |
Ω |
1.2067702978598 |
Real period |
R |
0.11928293703018 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57040r1 128340m1 71300i1 |
Quadratic twists by: -4 -3 5 |