Atkin-Lehner |
2- 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12628b |
Isogeny class |
Conductor |
12628 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-3261928375552 = -1 · 28 · 75 · 11 · 413 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11- -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2508,-73048] |
[a1,a2,a3,a4,a6] |
Generators |
[1326:11006:27] |
Generators of the group modulo torsion |
j |
6812290634672/12741907717 |
j-invariant |
L |
7.1438076486975 |
L(r)(E,1)/r! |
Ω |
0.41630655724865 |
Real period |
R |
5.7199896921398 |
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 |
50512i1 113652j1 88396k1 |
Quadratic twists by: -4 -3 -7 |