Atkin-Lehner |
2+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
99400a |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
407040 |
Modular degree for the optimal curve |
Δ |
190927520000000 = 211 · 57 · 75 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -5 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203075,-35217250] |
[a1,a2,a3,a4,a6] |
Generators |
[-261590:68639:1000] |
Generators of the group modulo torsion |
j |
28942971670818/5966485 |
j-invariant |
L |
3.9599121329561 |
L(r)(E,1)/r! |
Ω |
0.22490070228926 |
Real period |
R |
8.8036900424603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999656142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19880h1 |
Quadratic twists by: 5 |