Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968x |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3002722549544448 = 29 · 38 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5927259,5554294738] |
[a1,a2,a3,a4,a6] |
Generators |
[35689034724708605430:-758981578626952978612:17625732834206125] |
Generators of the group modulo torsion |
j |
1311494070536/171 |
j-invariant |
L |
10.137533656444 |
L(r)(E,1)/r! |
Ω |
0.35050036828751 |
Real period |
R |
28.923032772553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968ca4 34656bf4 5472v2 |
Quadratic twists by: -4 -3 -19 |