Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
95700f |
Isogeny class |
Conductor |
95700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-75557542500000000 = -1 · 28 · 33 · 510 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,77292,10293912] |
[a1,a2,a3,a4,a6] |
Generators |
[-566:16907:8] |
Generators of the group modulo torsion |
j |
20425924400/30223017 |
j-invariant |
L |
5.5461881698619 |
L(r)(E,1)/r! |
Ω |
0.23369348401995 |
Real period |
R |
3.9554577181059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95700bc1 |
Quadratic twists by: 5 |