Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960ch |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-196344000000000 = -1 · 212 · 35 · 59 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 5 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10999,-510999] |
[a1,a2,a3,a4,a6] |
Generators |
[76209:1229628:343] |
Generators of the group modulo torsion |
j |
35923933583936/47935546875 |
j-invariant |
L |
5.3392403505024 |
L(r)(E,1)/r! |
Ω |
0.30149509639406 |
Real period |
R |
8.8546056238236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960dk1 48480v1 |
Quadratic twists by: -4 8 |