Atkin-Lehner |
5+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
99715d |
Isogeny class |
Conductor |
99715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
8379550025 = 52 · 77 · 11 · 37 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72725,7566936] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:2106:1] |
Generators of the group modulo torsion |
j |
361568028250521/71225 |
j-invariant |
L |
5.9459265483831 |
L(r)(E,1)/r! |
Ω |
1.0340336085875 |
Real period |
R |
2.875112819688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999668799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245e1 |
Quadratic twists by: -7 |