Atkin-Lehner |
7- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50813f |
Isogeny class |
Conductor |
50813 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
208656 |
Modular degree for the optimal curve |
Δ |
84655854798557 = 710 · 173 · 61 |
Discriminant |
Eigenvalues |
1 -2 0 7- -5 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61276,-5826495] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:108:1] |
Generators of the group modulo torsion |
j |
90075015625/299693 |
j-invariant |
L |
2.1964112513077 |
L(r)(E,1)/r! |
Ω |
0.30350418419054 |
Real period |
R |
2.4122800341065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50813a1 |
Quadratic twists by: -7 |