Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430bc |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-357290939320875000 = -1 · 23 · 38 · 56 · 77 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,52470,-28397300] |
[a1,a2,a3,a4,a6] |
Generators |
[611:-15520:1] |
Generators of the group modulo torsion |
j |
186267240431/4165875000 |
j-invariant |
L |
2.5041067984038 |
L(r)(E,1)/r! |
Ω |
0.14676614789757 |
Real period |
R |
1.0663676680443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810cp2 14490u2 |
Quadratic twists by: -3 -7 |