Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
88935y |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-1949727996995625 = -1 · 33 · 54 · 72 · 119 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ -2 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10287,2157786] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-1356:1] |
Generators of the group modulo torsion |
j |
-1042139/16875 |
j-invariant |
L |
5.3885706712098 |
L(r)(E,1)/r! |
Ω |
0.39443830957662 |
Real period |
R |
1.7076721959509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88935bk1 88935bb1 |
Quadratic twists by: -7 -11 |