Atkin-Lehner |
2+ 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824g |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1246122226944 = 28 · 39 · 74 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14391,662310] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:756:1] |
Generators of the group modulo torsion |
j |
65413196784/247303 |
j-invariant |
L |
5.1389144309513 |
L(r)(E,1)/r! |
Ω |
0.86617915980784 |
Real period |
R |
1.4832134790943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51912k2 103824e2 |
Quadratic twists by: -4 -3 |