Atkin-Lehner |
2+ 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622a |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2111902592242286592 = -1 · 218 · 39 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -6 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-332817,-101652643] |
[a1,a2,a3,a4,a6] |
Generators |
[919:18724:1] [3026:161559:1] |
Generators of the group modulo torsion |
j |
-35930671875/18612224 |
j-invariant |
L |
7.2044678555272 |
L(r)(E,1)/r! |
Ω |
0.097017292782146 |
Real period |
R |
6.1883021477632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622bi1 62622f2 |
Quadratic twists by: -3 -7 |