Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
88935bb |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1100570625 = -1 · 33 · 54 · 72 · 113 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ 2 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85,-1660] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-152:1] |
Generators of the group modulo torsion |
j |
-1042139/16875 |
j-invariant |
L |
4.222936674469 |
L(r)(E,1)/r! |
Ω |
0.66504323320027 |
Real period |
R |
0.79373348568677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88935bl1 88935y1 |
Quadratic twists by: -7 -11 |