Atkin-Lehner |
2+ 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658br |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14865992108352 = 26 · 32 · 78 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-618602,187216796] |
[a1,a2,a3,a4,a6] |
Generators |
[501:1513:1] [2734:30381:8] |
Generators of the group modulo torsion |
j |
222519677677709833/126358848 |
j-invariant |
L |
9.1489243550031 |
L(r)(E,1)/r! |
Ω |
0.57680017184516 |
Real period |
R |
1.9826893246262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000010628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094b2 |
Quadratic twists by: -7 |