Atkin-Lehner |
2- 3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402bu |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-87869567394 = -1 · 2 · 36 · 7 · 172 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4748,127905] |
[a1,a2,a3,a4,a6] |
Generators |
[-450:3927:8] |
Generators of the group modulo torsion |
j |
-16234636151161/120534386 |
j-invariant |
L |
9.9747552864932 |
L(r)(E,1)/r! |
Ω |
1.0811480640684 |
Real period |
R |
4.6130384993244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378i1 |
Quadratic twists by: -3 |