Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690s |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-2.6063046021845E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-152454,2456333656] |
[a1,a2,a3,a4,a6] |
Generators |
[-571:-48267:1] |
Generators of the group modulo torsion |
j |
-16234636151161/107977095878400 |
j-invariant |
L |
5.1532365679073 |
L(r)(E,1)/r! |
Ω |
0.11550272821998 |
Real period |
R |
0.22307856477475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570d1 |
Quadratic twists by: 17 |