Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
61798h |
Isogeny class |
Conductor |
61798 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
-1.3318863626245E+20 |
Discriminant |
Eigenvalues |
2- -1 0 2 11- 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-886298,641073639] |
[a1,a2,a3,a4,a6] |
Generators |
[-473:31135:1] |
Generators of the group modulo torsion |
j |
-3473824173625/6009134912 |
j-invariant |
L |
9.3680866520982 |
L(r)(E,1)/r! |
Ω |
0.16524318439404 |
Real period |
R |
0.78739897864751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1166c1 |
Quadratic twists by: 53 |