Atkin-Lehner |
3+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72471i |
Isogeny class |
Conductor |
72471 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
343744237686339 = 35 · 76 · 17 · 294 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1080426,-432705195] |
[a1,a2,a3,a4,a6] |
Generators |
[-27758789231628:15011125519489:46190993472] |
Generators of the group modulo torsion |
j |
1185553563855028633/2921777811 |
j-invariant |
L |
5.0141091884428 |
L(r)(E,1)/r! |
Ω |
0.14808150166761 |
Real period |
R |
16.930234810789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1479d4 |
Quadratic twists by: -7 |