Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870y |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-5420844000 = -1 · 25 · 36 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11- 13- 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8424,-295520] |
[a1,a2,a3,a4,a6] |
Generators |
[111:302:1] |
Generators of the group modulo torsion |
j |
-90694355177089/7436000 |
j-invariant |
L |
4.1005309166513 |
L(r)(E,1)/r! |
Ω |
0.24916407013749 |
Real period |
R |
2.7428586275091 |
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 |
102960eb1 1430e1 64350ee1 |
Quadratic twists by: -4 -3 5 |