Atkin-Lehner |
2- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646bl |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
6027491451968 = 26 · 78 · 17 · 312 |
Discriminant |
Eigenvalues |
2- -2 4 7- -2 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-817321,284336793] |
[a1,a2,a3,a4,a6] |
Generators |
[572:1729:1] |
Generators of the group modulo torsion |
j |
513231706377774721/51232832 |
j-invariant |
L |
9.213511340381 |
L(r)(E,1)/r! |
Ω |
0.58192958396809 |
Real period |
R |
2.6387818487027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378k1 |
Quadratic twists by: -7 |