Atkin-Lehner |
3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35301d |
Isogeny class |
Conductor |
35301 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
12108243 = 3 · 74 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -3 1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-158,680] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:32:1] [5:4:1] |
Generators of the group modulo torsion |
j |
259596625/7203 |
j-invariant |
L |
4.9559831852055 |
L(r)(E,1)/r! |
Ω |
2.2479187024963 |
Real period |
R |
0.55117464654095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105903h1 35301j1 |
Quadratic twists by: -3 41 |