Atkin-Lehner |
2+ 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310q |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18943609796169030 = 2 · 34 · 5 · 77 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67253,-1129953] |
[a1,a2,a3,a4,a6] |
Generators |
[-1954:8131:8] |
Generators of the group modulo torsion |
j |
285943710192841/161018026470 |
j-invariant |
L |
4.0390212152167 |
L(r)(E,1)/r! |
Ω |
0.31914228682175 |
Real period |
R |
1.5819829362081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330n3 |
Quadratic twists by: -7 |