Atkin-Lehner |
2+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
72512i |
Isogeny class |
Conductor |
72512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-1911996416 = -1 · 214 · 11 · 1032 |
Discriminant |
Eigenvalues |
2+ 1 1 0 11- 4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3365,74051] |
[a1,a2,a3,a4,a6] |
Generators |
[442:1957:8] |
Generators of the group modulo torsion |
j |
-257269341184/116699 |
j-invariant |
L |
8.1058976301037 |
L(r)(E,1)/r! |
Ω |
1.4571130597298 |
Real period |
R |
2.7814923402895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72512p1 9064a1 |
Quadratic twists by: -4 8 |