Atkin-Lehner |
3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
116865bh |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1671168 |
Modular degree for the optimal curve |
Δ |
-261017128402734375 = -1 · 37 · 58 · 78 · 53 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 6 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-641664,-199198805] |
[a1,a2,a3,a4,a6] |
Generators |
[1286406:11464697:1331] |
Generators of the group modulo torsion |
j |
-340668004990321/3043359375 |
j-invariant |
L |
9.0741874971155 |
L(r)(E,1)/r! |
Ω |
0.084296807584091 |
Real period |
R |
6.7278552640213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999963411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38955c1 16695m1 |
Quadratic twists by: -3 -7 |