Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870cc |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-867335040 = -1 · 27 · 36 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 13- -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,238,-111] |
[a1,a2,a3,a4,a6] |
Generators |
[9:47:1] |
Generators of the group modulo torsion |
j |
2053225511/1189760 |
j-invariant |
L |
7.3103768355009 |
L(r)(E,1)/r! |
Ω |
0.93919850208356 |
Real period |
R |
0.55597381470045 |
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 |
102960es1 1430a1 64350y1 |
Quadratic twists by: -4 -3 5 |