Atkin-Lehner |
5+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
99715d |
Isogeny class |
Conductor |
99715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
596833450530625 = 54 · 78 · 112 · 372 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72970,7513575] |
[a1,a2,a3,a4,a6] |
Generators |
[88678:9288985:8] |
Generators of the group modulo torsion |
j |
365234554177641/5073000625 |
j-invariant |
L |
5.9459265483831 |
L(r)(E,1)/r! |
Ω |
0.51701680429373 |
Real period |
R |
5.750225639376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999668799 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14245e2 |
Quadratic twists by: -7 |