Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17934s |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-55805156064 = -1 · 25 · 35 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 2 -4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-246,-11565] |
[a1,a2,a3,a4,a6] |
Generators |
[27:35:1] |
Generators of the group modulo torsion |
j |
-13997521/474336 |
j-invariant |
L |
6.2153980204663 |
L(r)(E,1)/r! |
Ω |
0.48660624237887 |
Real period |
R |
1.2772951678715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53802r1 366b1 |
Quadratic twists by: -3 -7 |