Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930ba |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-74089001726720 = -1 · 28 · 5 · 17 · 237 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -1 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31751,-2229891] |
[a1,a2,a3,a4,a6] |
Generators |
[243:1994:1] [291:3498:1] |
Generators of the group modulo torsion |
j |
-23912763841/500480 |
j-invariant |
L |
12.682777212674 |
L(r)(E,1)/r! |
Ω |
0.17860427462477 |
Real period |
R |
2.219077839679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910n1 |
Quadratic twists by: -23 |